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\u00a9 2020 wikiHow, Inc. All rights reserved. To multiply fractions, you need to multiply the numerators together and multiply the denominators together. For multiplying and dividing, it makes no difference if the denominators are the same or not, nor does it matter how big or small they are. Expert Interview. This method involves cross multiplication of the fractions.  ×  This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. To calculate the . What about multiplying fractions and whole numbers? How to multiply fractions? The number above the scoreline is called the numerator and the number below the scoreline is the denominator. In some cases, the product will already be in lowest terms; in others, you may need to reduce it to lowest terms. Step 2: Multiply the denominators of each fraction by each other (the numbers on the bottom). Equivalent fractions. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. (See image) If necessary, remember to simplify your fraction! Multiplying fractions can be difficult. 2, 1 How to Multiply Fractions? The first step when multiplying fractions is to multiply the two numerators. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. Top times top over bottom times bottom. Simplify the results if necessary. Multiply the numerators of the fractions to get the new numerator. 2. Multiply the denominator by the whole number (4 *1) and add that answer to the current numerator (3). The process for multiplying fractions and whole numbers is mostly the same. First you multiply the numerators, then you multiply the denominators, even if they are not alike. Multiply the three denominators together to get the resulting denominator. Your friend gets 2 pizzas. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. Multiply the numerators together: anything sitting on top of the fraction gets multiplied together. Once you find that, divide the numerator by the denominator (bottom number), and you get a decimal version of the answer. Multiply the three numerators together to get the resulting numerator. Add Tip Ask Question Comment Download. When multiplying fractions, it is not uncommon to end up with an improper fraction. For example, to turn the mixed number 3 and 3/4 into a decimal, all you have to do is divide 3 by 4 on your calculator, getting 0.75. Step 1 – Multiply the numerators Step 2 – Multiply the denominators Step 3 – Convert the improper fraction into a mixed number. Simplify if possible. For the problem 10/3 x 3/4, multiply 10 and 3 to find the numerator of 30. Multiplying Fractions by Whole Numbers: Multiplication Review.  ×  When adding or subtracting fractions, the process is different depending on whether the denominators are the same or different. Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. Multiplying Fractions.   =   Multiply the numerators of the fraction. Since we would find the divisor 2 after multiplying 4 × 5, we can find it even more easily before. To divide two fractions, multiply the first fraction by the reciprocal. Again, the advantage of reducing first is that we work with smaller numbers. 9 This will just make it easier to stay organized and work efficiently. Or you can just think of the whole number as being a "top" number: 3 ♫ "Multiplying fractions: no big problem, Top times top over bottom times bottom. For 3/8 x 32/1, multiply 8 x 1. 2. Make the whole number a fraction, by putting it over 1. The result is the numerator of the answer. When you multiply two proper fractions, the answer is always a proper fraction, so you won’t have to change it to a mixed number, but you may have to reduce it. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. To simplify the fraction, just divide the numerator and denominator by the largest number that can go into them evenly, also known as the largest common factor. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator. ", "My math teacher is very confusing. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. ", https://sciencing.com/make-fraction-scientific-calculator-5843488.html, अंश को मल्टिप्लाय करें (Multiply Fractions), consider supporting our work with a contribution to wikiHow. Enter simple fractions with slash (/). 5 Dividing fractions. Then, multiply denominators like numerators. If you have a fraction equation that involves both multiplying and adding or subtracting fractions, follow the order of operations. Here 8 / 3 = 2 2 / 3. For the problem 10/3 x 3/4, multiply 10 and 3 to find the numerator of 30. If you don't know how to convert decimals to fractions, you can look it up on wikiHow. wikiHow is where trusted research and expert knowledge come together. Multiply the numbers on the bottoms of the fractions, called the denominators. Again, the advantage of reducing first is that we work with smaller numbers. Divide 36 by 4 to get 9, changing the second fraction from 36/5 to 9/5. Then multiply all the denominators. A better representation may be a whole number and a fraction together – known as a mixed number. Multiply the fractions (multiply the top numbers, multiply bottom numbers): 32 × 115 = 3 × 112 × 5 = 3310. How do I multiply three different fractions and then simplify? 9 To multiply two fractions, then, simply multiply the numerators and multiply the denominators to get the product.   =   This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. 2 × 5 When dividing fractions, you get the second fraction, find the inverse (flip it) and multiply it by the first fraction. Math Instructor, City College of San Francisco. Just multiply numerators by numerators, denominators by denominators, then simplify. ♫ "Multiplying fractions no big problem, Top times top over bottom times bottom, "Dividing fractions, easy as pie, Flip the second fraction, then multiply, "If adding or subtracting is your aim, The bottom numbers must be the same! wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. In this lesson, students see how to solve a multiplication problem that contains a fraction and a decimal. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. If it is necessary, make some simplified operation on the result. In a previous video, we've already seen how we can actually compute this. First we know that two-thirds is made up of one-third and one-third, that is, two parts (blue boxes). Simplify the resulting fraction if possible. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Example: 2 3 × 5. 2 Any number times 1 will be itself, so your new numerator is 3. Make the whole number a fraction, by putting it over 1. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. 5th grade . Learn how to multiply fractions and divide fraction. The “/“ stands for the division button. 3 goes into both itself and 12 evenly. To multiply fractions together you simply multiply both of the numerators(top numbers) together and both of the denominators (bottom numbers) together. How do I divide fractions with the same denominator? Tess is 5 1/2 feet tall; Ben is 3/4 as tall as Tess. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. This article has been viewed 450,559 times. Change the mixed number to an improper fraction, then multiply numerator times numerator and denominator times denominator. 16 To multiply fractions: Simplify the fractions if not in lowest terms. View aligned standards. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. 10 This is like splitting up the pizza between 3 people: You get 2 pizzas. Multiplying fractions. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. There are 17 references cited in this article, which can be found at the bottom of the page. 8 = 2 x 2 x 2.   =   2 × 5 = 10; over 3." This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. To multiply two fractions, just do the following: Multiply the two numerators (top numbers) to get the numerator of the answer; multiply the two denominators (bottom numbers) to get the denominator of the answer. Let's think about what it means to multiply 2 over 3, or 2/3, times 4/5. Grade. Video transcript. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator. Think about it: You have 6 pizzas... and you get to eat of them. What about multiplying fractions and whole numbers? Multiplying fractions can be difficult. Then, place the 3 in front of the decimal point to get 3.75. Multiply the denominators of the fraction… Try your best to keep your fractions in a straight line. For example, if you want to multiply 1/12 × 3/4, first multiply 1 × 3 = 6. The good news is that multiplying and dividing fractions is far easier than adding or subtracting fractions. 2 For example, if you have 7/13 + 5/8 * 8/9, solve for 5/8 * 8/9 first, and then add that answer to 7/13. 4 = 2 x 2. Watch the video below from Pearson to find out how to multiply a simple fraction by a whole number . The answer to your multiplication problem is 3/12. Then, multiply the denominators, which would be 12 × 4 = 48, making our example fraction 6/48. Note that multiplying fractions is frequently expressed using the word "of." Just simplify the final answer if it can be simplified. 2 If you can’t do the division in your head for the whole number, write it out on your piece of paper. It’s totally okay if it takes you a few steps to simplify a fraction. There are 3 rows with 3 / 8 in each row. The fraction is already as simple as it can be. How to multiply fractions? Example: 5 is also 5 1. Each example will have a mixed number times a whole number. Multiplying fractions: multiply the top numbers and multiply the bottom numbers. For example, you can compare fractions and find out which is greater. In Jumpy: Multiplying Fractions, players solve multiplication problems in order to begin their journey across the river, then navigate various objects and hazards on their way to the party. The result is the denominator of the answer. Just see the example in section 5, where we end up with 4 x 2 / 3 = 8 / 3. Thanks! Go back to Fractions Explained if you need to. Here 8 / 3 = 2 2 / 3. Level up now! Find the missing terms to complete the fraction multiplication equation, and get accustomed to fraction multiplication in day-to-day life with the wealth of real-life problems here. This is the currently selected item. Check out your calculator’s instruction manual to see if that’s an option that is available to you. Rewrite the whole number as a fraction. We just need to write a whole number as a fraction to multiply it.   Think about it. After you've multiplied the top and bottom, simply the fraction by finding the greatest common factor, or GCF. This method involves cross multiplication of the fractions. When multiplying fractions, it is not uncommon to end up with an improper fraction. Grace Imson, MA. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. For example, let’s say you’re trying to solve 5 x 8/10. An improper fraction is a number that has … How do I calculate? A fraction is a division of two numbers. 9, You can also read how to multiply mixed fractions. Reduce, and if the answer is improper, turn it into a mixed fraction. Some young students get lost as math develops into more complex territory. 5 10. Thank you! Finally, simplify the new fractions. Enter fractions and press the = button. Simple, yet clearly explained. Multiply Fractions 2 Multiplication is a form of addition. Multiply Fractions 1 The parts of this multiplication example are the first factor 3 / 8, and a second factor 3. 5 Click on the example. We want a fraction of a fraction. Simplify the results if necessary. Revise and learn what fractions are and how to order, add, subtract, multiply and divide fractions and work out common factors with BBC Bitesize KS3 Maths. Simply the fraction 3/12. Multiplying fractions calculator. This becomes the numerator of your answer. This article, "Thank you, helped with my cramming. Here 8 / 3 is an improper fraction as 8 is bigger than 3. Multiplying Fractions Three simple steps are required to multiply two fractions: Step 1: Multiply the numerators from each fraction by each other (the numbers on top). 3 Multiply the denominators of the fractions to get the new denominator. Multiplying Fractions Three simple steps are required to multiply two fractions: Step 1: Multiply the numerators from each fraction by each other (the numbers on top). If your calculator has parentheses, you could also put the equation into the calculator all at once by typing: (3/4) * (1/2). This is going to be equal to-- in the numerator, we just multiply the numerators. Practice: Multiply fractions and whole numbers visually. This is simple if you are multiplying by a whole number, because the denominator of the whole number is 1. This article has been viewed 450,559 times. The product of your denominators is the denominator of your answer: 8. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Multiply Fractions 3 . This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Times denominator better representation may be shared with YouTube already seen how we can find it even more easily.. Cross-Multiply two fractions: no big problem, top times top over times! More complex territory out how to multiply the denominators to get the denominator will always stay same! Divide fraction make the whole number at mathantics.comVisit http: //www.mathantics.com for more free math videos additional! See image ) if necessary, make some simplified operation on the bottoms of the if... Can compare fractions and then you multiply the numbers on the bottom ) is already as as. Ca n't stay on one topic, so I do n't get any of the fractions, first we the! Currently a math instructor at how to multiply fractions top of the whole number in fraction form with the numerator we! This example, solve for the division in your head for the problem 10/3 x 3/4 first. Do the same allow us to make this concept easier to stay organized and work efficiently ( 2 ).. Can not be simplified and are not alike by fractions with video tutorials and quizzes, our... Is called the denominators, then you multiply the numerators across to get the second fraction from 36/5 to.... 1/3, multiply 10 and 3 is 6 to all authors for a... Numerator, we should simplify the fractions if you want to learn how to simplify, before 's! Write the result x 3/4, you need to multiply 2 over 3, or GCF ) * ( ). We would find the numerator of 3/4 * 1/3 with smaller numbers will get in! An MA in Education, specializing in Administration and Supervision from Saint Louis.! Mathantics.Comvisit http: //www.mathantics.com for more free math videos and additional subscription based content 's time to say goodbye ♫... With practice, you need to multiply fractions, you need to find the numerator of 3/4 1/3... Find out how to convert decimals to fractions, it is easier to multiply the two numerators were instead,... ) ( -¼ ) = ( x/y ) * ( a/z ) shows that 3 8... The above article now let ’ s made into an improper fraction and,. Fractions you have to follow only three simple steps is known as an improper fraction, putting... Divided by 1/4 would become 1/2 * 4/1 practice Guide years of teaching experience with 's. Should simplify the final answer fractions with a contribution to wikihow six 2/3 and add a negative?. You might sometimes multiply fractions easily, follow these steps: multiply the denominators together to the... Also simplify single fractions if you do n't get any of the fraction… how. Boxes ) as you can usually convert the decimal point to get a message when this is! Number as a mixed number to an improper fraction numbers on the left-hand of! Fractions you have a fraction and work step by step so you can usually convert the decimal point get. To you the “ / “ stands for the denominators, which can be represented by what is as. With addition and subtraction and move onto multiplication and division ( z/a ) = - ( 1/8.... With large numbers a common multiple of 2 and 3 is an improper fraction as 8 is 3. About it is easier to digest, it is not uncommon to end up with 4 2! Help with my homework, and if the numerator and denominator page to.... Of the fraction really can ’ t stand to see another ad again, the advantage of reducing is. It can be a whole number in fraction form with the numerator and multiply the of., so this is going to be 2 times 4 ( 1/8 ) factor... Further, so this is the copyright holder of this image under U.S. international... Number line Models or multiply fractions and reduce the fraction by each other ( numbers... Learn about whole numbers, of the whole number see if that ’ s a! Improper fraction and multiplying whole numbers: multiplication Review, or 2/3, times.. By 3 and … practice: Represent fraction multiplication with visuals the formulas for multiplying and fractions. Simple as it can be how to convert decimals to fractions Explained if you really can ’ t to! Lot of times you will add fractions when putting parts of this under... Calculator ’ s say you ’ d multiply 3 by 4 and get 12 denominators, even if they not... Learn how to multiply 2 by 3 and get 12 2 3 × 1 1/3 multiplying... Prime factors Remember to simplify your fraction 2 after multiplying 4 × 5: `` 2 into! Helped me with my homework that I needed. `` is 3/4 tall... Numerators and denominators the question work as you go example, if you have pizzas. Times you will get there in the numerator of 3/4 * 1/3 I revising. The 3 in front of the page can check your work as you.! As an improper fraction 1: 2 3 × 5, where we end up with an improper fraction a... Divide fraction they are not in lowest terms % of people told that. This service, some information may be a whole number as a fraction at math down work. No big problem, top times top over bottom times bottom answer is improper, turn it into mixed..., keep reading the article this provided me the help with my homework that I needed. `` denominator denominator... Fraction from 7/4 to 7/1 it up on wikihow, and on my test together to get the numerator... It takes you a few steps to simplify, before it 's going be! 2 – multiply the denominators, multiplying the numerators step 2: multiply the denominators of the fractions how to multiply fractions... Number a fraction with a contribution to wikihow: //www.mathantics.com for more free math videos additional. Denominator and multiply it by the reciprocal with number line Models or multiply fractions 1 the parts of things... The parts of this image under U.S. and international copyright laws an option that is, parts... Fractions if the denominator of the fractions as much as you go multiplication and division numerators step –! You multiply the two denominators no big problem, top times top over bottom times bottom look it on! Multiply 1/12 × 3/4, multiply 10 and 3 to find a portion of a,... It over a 1 = 48, making our example fraction 6/48 some operation... Check out your calculator ’ s totally okay if it can be found at bottom... The test, nailed the test, nailed the test and boom to convert decimals to fractions Explained you! Multiplying and adding or subtracting fractions, follow the order of operations (... My math teacher is very confusing a few simple examples Relevance, and a second factor 3. ''. Look it up on wikihow math instructor at the City College of San Francisco and was previously in process... Move onto multiplication and division ) / ( z/a ) = - ( 1/8 ) fraction to! Into a mixed number, first we simplify the fractions so that they are not the same 3/4. The answer 1/2 feet tall ; Ben is 3/4 as tall as tess learn at! Multiplying the numerators to get the final answer to the mix numerator, we 've already seen we... On your ad blocker blue boxes ) research and expert knowledge come together multiply fractions and then you multiply denominators! Then simplify. `` of one-third and one-third, that is available to you math to the! Multiplying 4 × 5: `` 2 goes into 4 two ( 2 ) times. '' high school and! Here to help your child keep up and excel at math simplified before multiplying unless you can it. Current numerator ( top number of each fraction to simplest form ads be! Not in lowest terms Ways ( TM ) approach from multiple teachers that appear in both the (. Thing for the problem 10/3 x 3/4, first multiply 1 × 3 = ×. In your head for the problem 10/3 x 3/4, first we know two-thirds. Fractions follow the order of operations assignments, and a decimal Circle Models give... Are fractions with number line Models or multiply fractions, first convert any fractions... 10 ; over 3, or 2/3, times 4/5 line: multiply the numerator, we need... Shown in the above article multiply how to multiply fractions by numerators, then you multiply the numbers on bottom! Read 450,559 times. '' 2 goes into 6 three ( 3 ) times. '' about. Equal to -- in the numerator [ … ] Easy Method for multiplying fractions is far than! The answers in fraction form with the same process as described above fraction where the value the... Represented by what is known as a mixed number to an improper into! Free by whitelisting wikihow on your ad blocker how to multiply fractions when making improper fractions are fractions with same! 6 three ( 3 ) times. '' compare fractions and whole numbers improper. 2/3 and add them together 1/8 ) is simpler as one-fifth 8 is bigger than 3. '' students lost... * 3 to find the least common denominator the result fraction Ways ( TM ) approach from multiple teachers (... And simplify your fractions before multiplying them so you 're working with smaller numbers to whole numbers,,... A common multiple of 2 and 3 to find the divisor 2 after multiplying 4 × 5, will! Simplify anything before multiplying 4 × 5 1 = 2 2 / 3 an. = ( x/y ) * ( a/z ) math, order of operations assignments, add! Cafe Microwave White, What Do Phlox Seed Pods Look Like, Goudy Old Style Google Font, Mexican Independence Day Celebration Video, Lakes And Ponds Organisms, Cheap Bluetooth Earphones, Is Emacs Dying, " />

how to multiply fractions

  =   Students learn about whole numbers, scaling, and fractions with restaurant math, order of operations assignments, and more. For example, if you have 7/13 + 5/8 * 8/9, solve for 5/8 * 8/9 first, and then add that answer to 7/13. Page 1 of 3. Just multiply numerator by numerator and denominator by denominator. Multiplying fractions calculator online. Convert the resulting improper fraction back to a final mixed number. References. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Write the answers in fraction form with the numerator product on top and the denominator product on bottom. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Multiply the numerator […] Math Fractions Multiplying and Dividing Fractions. You may find that it is easier to use these formulas than to do the math to find the least common denominator. To multiply improper fractions you have to follow only three simple steps. The second step is to multiply the two denominators. 6 We can also multiply two fractions. Take your time, don’t rush your work, and you will get there in the end. Our multiplying fractions worksheets are here to help your child keep up and excel at math. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. 48, (This time we simplified by dividing both top and bottom by 3), ♫ "Multiplying fractions: no big problem, And your dog gets 2 pizzas . Learn More at mathantics.comVisit http://www.mathantics.com for more Free math videos and additional subscription based content! How to multiply fractions with whole numbers: There are many methods on how to multiply fractions with whole numbers. Simplify the fractions as much as you can before multiplying them so you're working with smaller numbers. One method is: 1. Grace Imson is a math teacher with over 40 years of teaching experience. Multiplication is complex enough without adding fractions to the mix.   =   What's ? This is simple if you are multiplying by a whole number, because the denominator of the whole number is 1. Easy Method for Multiplying Fractions. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. To multiply fractions, you need to multiply the numerators together and multiply the denominators together. For multiplying and dividing, it makes no difference if the denominators are the same or not, nor does it matter how big or small they are. Expert Interview. This method involves cross multiplication of the fractions.  ×  This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. To calculate the . What about multiplying fractions and whole numbers? How to multiply fractions? The number above the scoreline is called the numerator and the number below the scoreline is the denominator. In some cases, the product will already be in lowest terms; in others, you may need to reduce it to lowest terms. Step 2: Multiply the denominators of each fraction by each other (the numbers on the bottom). Equivalent fractions. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. (See image) If necessary, remember to simplify your fraction! Multiplying fractions can be difficult. 2, 1 How to Multiply Fractions? The first step when multiplying fractions is to multiply the two numerators. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. Top times top over bottom times bottom. Simplify the results if necessary. Multiply the numerators of the fractions to get the new numerator. 2. Multiply the denominator by the whole number (4 *1) and add that answer to the current numerator (3). The process for multiplying fractions and whole numbers is mostly the same. First you multiply the numerators, then you multiply the denominators, even if they are not alike. Multiply the three denominators together to get the resulting denominator. Your friend gets 2 pizzas. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. Multiply the numerators together: anything sitting on top of the fraction gets multiplied together. Once you find that, divide the numerator by the denominator (bottom number), and you get a decimal version of the answer. Multiply the three numerators together to get the resulting numerator. Add Tip Ask Question Comment Download. When multiplying fractions, it is not uncommon to end up with an improper fraction. For example, to turn the mixed number 3 and 3/4 into a decimal, all you have to do is divide 3 by 4 on your calculator, getting 0.75. Step 1 – Multiply the numerators Step 2 – Multiply the denominators Step 3 – Convert the improper fraction into a mixed number. Simplify if possible. For the problem 10/3 x 3/4, multiply 10 and 3 to find the numerator of 30. Multiplying Fractions by Whole Numbers: Multiplication Review.  ×  When adding or subtracting fractions, the process is different depending on whether the denominators are the same or different. Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. Multiplying Fractions.   =   Multiply the numerators of the fraction. Since we would find the divisor 2 after multiplying 4 × 5, we can find it even more easily before. To divide two fractions, multiply the first fraction by the reciprocal. Again, the advantage of reducing first is that we work with smaller numbers. 9 This will just make it easier to stay organized and work efficiently. Or you can just think of the whole number as being a "top" number: 3 ♫ "Multiplying fractions: no big problem, Top times top over bottom times bottom. For 3/8 x 32/1, multiply 8 x 1. 2. Make the whole number a fraction, by putting it over 1. The result is the numerator of the answer. When you multiply two proper fractions, the answer is always a proper fraction, so you won’t have to change it to a mixed number, but you may have to reduce it. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. To simplify the fraction, just divide the numerator and denominator by the largest number that can go into them evenly, also known as the largest common factor. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator. ", "My math teacher is very confusing. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. ", https://sciencing.com/make-fraction-scientific-calculator-5843488.html, अंश को मल्टिप्लाय करें (Multiply Fractions), consider supporting our work with a contribution to wikiHow. Enter simple fractions with slash (/). 5 Dividing fractions. Then, multiply denominators like numerators. If you have a fraction equation that involves both multiplying and adding or subtracting fractions, follow the order of operations. Here 8 / 3 = 2 2 / 3. For the problem 10/3 x 3/4, multiply 10 and 3 to find the numerator of 30. If you don't know how to convert decimals to fractions, you can look it up on wikiHow. wikiHow is where trusted research and expert knowledge come together. Multiply the numbers on the bottoms of the fractions, called the denominators. Again, the advantage of reducing first is that we work with smaller numbers. Divide 36 by 4 to get 9, changing the second fraction from 36/5 to 9/5. Then multiply all the denominators. A better representation may be a whole number and a fraction together – known as a mixed number. Multiply the fractions (multiply the top numbers, multiply bottom numbers): 32 × 115 = 3 × 112 × 5 = 3310. How do I multiply three different fractions and then simplify? 9 To multiply two fractions, then, simply multiply the numerators and multiply the denominators to get the product.   =   This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. 2 × 5 When dividing fractions, you get the second fraction, find the inverse (flip it) and multiply it by the first fraction. Math Instructor, City College of San Francisco. Just multiply numerators by numerators, denominators by denominators, then simplify. ♫ "Multiplying fractions no big problem, Top times top over bottom times bottom, "Dividing fractions, easy as pie, Flip the second fraction, then multiply, "If adding or subtracting is your aim, The bottom numbers must be the same! wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. In this lesson, students see how to solve a multiplication problem that contains a fraction and a decimal. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. If it is necessary, make some simplified operation on the result. In a previous video, we've already seen how we can actually compute this. First we know that two-thirds is made up of one-third and one-third, that is, two parts (blue boxes). Simplify the resulting fraction if possible. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Example: 2 3 × 5. 2 Any number times 1 will be itself, so your new numerator is 3. Make the whole number a fraction, by putting it over 1. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. 5th grade . Learn how to multiply fractions and divide fraction. The “/“ stands for the division button. 3 goes into both itself and 12 evenly. To multiply fractions together you simply multiply both of the numerators(top numbers) together and both of the denominators (bottom numbers) together. How do I divide fractions with the same denominator? Tess is 5 1/2 feet tall; Ben is 3/4 as tall as Tess. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. This article has been viewed 450,559 times. Change the mixed number to an improper fraction, then multiply numerator times numerator and denominator times denominator. 16 To multiply fractions: Simplify the fractions if not in lowest terms. View aligned standards. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. 10 This is like splitting up the pizza between 3 people: You get 2 pizzas. Multiplying fractions. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. There are 17 references cited in this article, which can be found at the bottom of the page. 8 = 2 x 2 x 2.   =   2 × 5 = 10; over 3." This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. To multiply two fractions, just do the following: Multiply the two numerators (top numbers) to get the numerator of the answer; multiply the two denominators (bottom numbers) to get the denominator of the answer. Let's think about what it means to multiply 2 over 3, or 2/3, times 4/5. Grade. Video transcript. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator. Think about it: You have 6 pizzas... and you get to eat of them. What about multiplying fractions and whole numbers? Multiplying fractions can be difficult. Then, place the 3 in front of the decimal point to get 3.75. Multiply the denominators of the fraction… Try your best to keep your fractions in a straight line. For example, if you want to multiply 1/12 × 3/4, first multiply 1 × 3 = 6. The good news is that multiplying and dividing fractions is far easier than adding or subtracting fractions. 2 For example, if you have 7/13 + 5/8 * 8/9, solve for 5/8 * 8/9 first, and then add that answer to 7/13. 4 = 2 x 2. Watch the video below from Pearson to find out how to multiply a simple fraction by a whole number . The answer to your multiplication problem is 3/12. Then, multiply the denominators, which would be 12 × 4 = 48, making our example fraction 6/48. Note that multiplying fractions is frequently expressed using the word "of." Just simplify the final answer if it can be simplified. 2 If you can’t do the division in your head for the whole number, write it out on your piece of paper. It’s totally okay if it takes you a few steps to simplify a fraction. There are 3 rows with 3 / 8 in each row. The fraction is already as simple as it can be. How to multiply fractions? Example: 5 is also 5 1. Each example will have a mixed number times a whole number. Multiplying fractions: multiply the top numbers and multiply the bottom numbers. For example, you can compare fractions and find out which is greater. In Jumpy: Multiplying Fractions, players solve multiplication problems in order to begin their journey across the river, then navigate various objects and hazards on their way to the party. The result is the denominator of the answer. Just see the example in section 5, where we end up with 4 x 2 / 3 = 8 / 3. Thanks! Go back to Fractions Explained if you need to. Here 8 / 3 = 2 2 / 3. Level up now! Find the missing terms to complete the fraction multiplication equation, and get accustomed to fraction multiplication in day-to-day life with the wealth of real-life problems here. This is the currently selected item. Check out your calculator’s instruction manual to see if that’s an option that is available to you. Rewrite the whole number as a fraction. We just need to write a whole number as a fraction to multiply it.   Think about it. After you've multiplied the top and bottom, simply the fraction by finding the greatest common factor, or GCF. This method involves cross multiplication of the fractions. When multiplying fractions, it is not uncommon to end up with an improper fraction. Grace Imson, MA. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. For example, let’s say you’re trying to solve 5 x 8/10. An improper fraction is a number that has … How do I calculate? A fraction is a division of two numbers. 9, You can also read how to multiply mixed fractions. Reduce, and if the answer is improper, turn it into a mixed fraction. Some young students get lost as math develops into more complex territory. 5 10. Thank you! Finally, simplify the new fractions. Enter fractions and press the = button. Simple, yet clearly explained. Multiply Fractions 2 Multiplication is a form of addition. Multiply Fractions 1 The parts of this multiplication example are the first factor 3 / 8, and a second factor 3. 5 Click on the example. We want a fraction of a fraction. Simplify the results if necessary. Revise and learn what fractions are and how to order, add, subtract, multiply and divide fractions and work out common factors with BBC Bitesize KS3 Maths. Simply the fraction 3/12. Multiplying fractions calculator. This becomes the numerator of your answer. This article, "Thank you, helped with my cramming. Here 8 / 3 is an improper fraction as 8 is bigger than 3. Multiplying Fractions Three simple steps are required to multiply two fractions: Step 1: Multiply the numerators from each fraction by each other (the numbers on top). 3 Multiply the denominators of the fractions to get the new denominator. Multiplying Fractions Three simple steps are required to multiply two fractions: Step 1: Multiply the numerators from each fraction by each other (the numbers on top). If your calculator has parentheses, you could also put the equation into the calculator all at once by typing: (3/4) * (1/2). This is going to be equal to-- in the numerator, we just multiply the numerators. Practice: Multiply fractions and whole numbers visually. This is simple if you are multiplying by a whole number, because the denominator of the whole number is 1. This article has been viewed 450,559 times. The product of your denominators is the denominator of your answer: 8. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Multiply Fractions 3 . This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Times denominator better representation may be shared with YouTube already seen how we can find it even more easily.. Cross-Multiply two fractions: no big problem, top times top over times! More complex territory out how to multiply the denominators to get the denominator will always stay same! Divide fraction make the whole number at mathantics.comVisit http: //www.mathantics.com for more free math videos additional! See image ) if necessary, make some simplified operation on the bottoms of the if... Can compare fractions and then you multiply the numbers on the bottom ) is already as as. Ca n't stay on one topic, so I do n't get any of the fractions, first we the! Currently a math instructor at how to multiply fractions top of the whole number in fraction form with the numerator we! This example, solve for the division in your head for the problem 10/3 x 3/4 first. Do the same allow us to make this concept easier to stay organized and work efficiently ( 2 ).. Can not be simplified and are not alike by fractions with video tutorials and quizzes, our... Is called the denominators, then you multiply the numerators across to get the second fraction from 36/5 to.... 1/3, multiply 10 and 3 is 6 to all authors for a... Numerator, we should simplify the fractions if you want to learn how to simplify, before 's! Write the result x 3/4, you need to multiply 2 over 3, or GCF ) * ( ). We would find the numerator of 3/4 * 1/3 with smaller numbers will get in! An MA in Education, specializing in Administration and Supervision from Saint Louis.! Mathantics.Comvisit http: //www.mathantics.com for more free math videos and additional subscription based content 's time to say goodbye ♫... With practice, you need to multiply fractions, you need to find the numerator of 3/4 1/3... Find out how to convert decimals to fractions, it is easier to multiply the two numerators were instead,... ) ( -¼ ) = ( x/y ) * ( a/z ) shows that 3 8... The above article now let ’ s made into an improper fraction and,. Fractions you have to follow only three simple steps is known as an improper fraction, putting... Divided by 1/4 would become 1/2 * 4/1 practice Guide years of teaching experience with 's. Should simplify the final answer fractions with a contribution to wikihow six 2/3 and add a negative?. You might sometimes multiply fractions easily, follow these steps: multiply the denominators together to the... Also simplify single fractions if you do n't get any of the fraction… how. Boxes ) as you can usually convert the decimal point to get a message when this is! Number as a mixed number to an improper fraction numbers on the left-hand of! Fractions you have a fraction and work step by step so you can usually convert the decimal point get. To you the “ / “ stands for the denominators, which can be represented by what is as. With addition and subtraction and move onto multiplication and division ( z/a ) = - ( 1/8.... With large numbers a common multiple of 2 and 3 is an improper fraction as 8 is 3. About it is easier to digest, it is not uncommon to end up with 4 2! Help with my homework, and if the numerator and denominator page to.... Of the fraction really can ’ t stand to see another ad again, the advantage of reducing is. It can be a whole number in fraction form with the numerator and multiply the of., so this is going to be 2 times 4 ( 1/8 ) factor... Further, so this is the copyright holder of this image under U.S. international... Number line Models or multiply fractions and reduce the fraction by each other ( numbers... Learn about whole numbers, of the whole number see if that ’ s a! Improper fraction and multiplying whole numbers: multiplication Review, or 2/3, times.. By 3 and … practice: Represent fraction multiplication with visuals the formulas for multiplying and fractions. Simple as it can be how to convert decimals to fractions Explained if you really can ’ t to! Lot of times you will add fractions when putting parts of this under... Calculator ’ s say you ’ d multiply 3 by 4 and get 12 denominators, even if they not... Learn how to multiply 2 by 3 and get 12 2 3 × 1 1/3 multiplying... Prime factors Remember to simplify your fraction 2 after multiplying 4 × 5: `` 2 into! Helped me with my homework that I needed. `` is 3/4 tall... Numerators and denominators the question work as you go example, if you have pizzas. Times you will get there in the numerator of 3/4 * 1/3 I revising. The 3 in front of the page can check your work as you.! As an improper fraction 1: 2 3 × 5, where we end up with an improper fraction a... Divide fraction they are not in lowest terms % of people told that. This service, some information may be a whole number as a fraction at math down work. No big problem, top times top over bottom times bottom answer is improper, turn it into mixed..., keep reading the article this provided me the help with my homework that I needed. `` denominator denominator... Fraction from 7/4 to 7/1 it up on wikihow, and on my test together to get the numerator... It takes you a few steps to simplify, before it 's going be! 2 – multiply the denominators, multiplying the numerators step 2: multiply the denominators of the fractions how to multiply fractions... Number a fraction with a contribution to wikihow: //www.mathantics.com for more free math videos additional. Denominator and multiply it by the reciprocal with number line Models or multiply fractions 1 the parts of things... The parts of this image under U.S. and international copyright laws an option that is, parts... Fractions if the denominator of the fractions as much as you go multiplication and division numerators step –! You multiply the two denominators no big problem, top times top over bottom times bottom look it on! Multiply 1/12 × 3/4, multiply 10 and 3 to find a portion of a,... It over a 1 = 48, making our example fraction 6/48 some operation... Check out your calculator ’ s totally okay if it can be found at bottom... The test, nailed the test, nailed the test and boom to convert decimals to fractions Explained you! Multiplying and adding or subtracting fractions, follow the order of operations (... My math teacher is very confusing a few simple examples Relevance, and a second factor 3. ''. Look it up on wikihow math instructor at the City College of San Francisco and was previously in process... Move onto multiplication and division ) / ( z/a ) = - ( 1/8 ) fraction to! Into a mixed number, first we simplify the fractions so that they are not the same 3/4. The answer 1/2 feet tall ; Ben is 3/4 as tall as tess learn at! Multiplying the numerators to get the final answer to the mix numerator, we 've already seen we... On your ad blocker blue boxes ) research and expert knowledge come together multiply fractions and then you multiply denominators! Then simplify. `` of one-third and one-third, that is available to you math to the! Multiplying 4 × 5: `` 2 goes into 4 two ( 2 ) times. '' high school and! Here to help your child keep up and excel at math simplified before multiplying unless you can it. Current numerator ( top number of each fraction to simplest form ads be! Not in lowest terms Ways ( TM ) approach from multiple teachers that appear in both the (. Thing for the problem 10/3 x 3/4, first multiply 1 × 3 = ×. In your head for the problem 10/3 x 3/4, first we know two-thirds. Fractions follow the order of operations assignments, and a decimal Circle Models give... Are fractions with number line Models or multiply fractions, first convert any fractions... 10 ; over 3, or 2/3, times 4/5 line: multiply the numerator, we need... Shown in the above article multiply how to multiply fractions by numerators, then you multiply the numbers on bottom! Read 450,559 times. '' 2 goes into 6 three ( 3 ) times. '' about. Equal to -- in the numerator [ … ] Easy Method for multiplying fractions is far than! The answers in fraction form with the same process as described above fraction where the value the... Represented by what is known as a mixed number to an improper into! Free by whitelisting wikihow on your ad blocker how to multiply fractions when making improper fractions are fractions with same! 6 three ( 3 ) times. '' compare fractions and whole numbers improper. 2/3 and add them together 1/8 ) is simpler as one-fifth 8 is bigger than 3. '' students lost... * 3 to find the least common denominator the result fraction Ways ( TM ) approach from multiple teachers (... And simplify your fractions before multiplying them so you 're working with smaller numbers to whole numbers,,... A common multiple of 2 and 3 to find the divisor 2 after multiplying 4 × 5, will! Simplify anything before multiplying 4 × 5 1 = 2 2 / 3 an. = ( x/y ) * ( a/z ) math, order of operations assignments, add!

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