1 × 2 For example: First, we should simplify the fractions so that they are easier to multiply afterward. 8 = 2 x 2 x 2. (See image) If necessary, remember to simplify your fraction! 9 Tess is 5 1/2 feet tall; Ben is 3/4 as tall as Tess. The Fraction Calculator will multiply fractions and reduce the fraction to its simplest form. For example, if you want to multiply 1/12 × 3/4, first multiply 1 × 3 = 6. Take your time and work step by step so you can check your work as you go. Practice: Represent fraction multiplication with visuals. Put the new numerator over the original denominator for your improper fraction. If you want to learn how to simplify your fractions before multiplying them, keep reading the article!   =   2 Head on over to the next page to continue... 1; 2; 3; Continue > Fractions Games. Multiplying mixed numbers. Make 5 into 5 1: 2 3 × 5 1. Multiplying Fractions by Whole Numbers: Multiplication Review. 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. Watch the video below from Pearson to find out how to multiply a simple fraction by a whole number . How do I multiply fractions with high value denominators that cannot be simplified and are not the same? You may find that it is easier to use these formulas than to do the math to find the least common denominator. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. 3 Therefore, your new fraction would be 6/12. A fraction is a division of two numbers. This is going to be equal to-- in the numerator, we just multiply the numerators. Multiply Fractions to Simplest Form will give instruction and practice in multiplying fractions. You can also simplify single fractions if the numerator and denominator have a common factor. The result is the denominator of the answer. Multiply the three numerators together to get the resulting numerator. Multiplying fractions calculator online. 2 This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. How to multiply fractions with whole numbers: There are many methods on how to multiply fractions with whole numbers. For example, if 7/4 were instead 8/4, you could simplify that fraction to 2/1. Finally, simplify the new fractions. To multiply fractions, start by multiplying the numerators, or top number of each fraction. 10 1 × 9 ", "This provided me the help with my homework that I needed.". We just need to write a whole number as a fraction to multiply it. Subject. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. We may cancel before multiplying 4 × 5: "2 goes into 4 two (2) times. Mixed numbers and improper fractions can be a little tricky, but with practice, you’ll get the hang of it. The product of your denominators is the denominator of your answer: 8. Simplify if possible. 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. Grade. Multiplying fractions calculator. This is going to be equal to-- in the numerator, we just multiply the numerators. Multiplying Fractions. The numerator and denominator of the second fraction are switched and then you multiply. This is the currently selected item. You use equivalent fractions to make them the same. Simply the fraction 3/12. In this example, you’d multiply 3 by 4 and get 12. 9 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. What about multiplying fractions and whole numbers? So it's going to be 2 times 4. A fraction is a division of two numbers. Enter simple fractions with slash (/). Enter fractions and press the = button. In a previous video, we've already seen how we can actually compute this. Thanks! For example: 1/2 × 1/3. (5*7) + 1 = 36. The video below goes into a little bit of the ideas behind multiplying two fractions and then shows some examples, including examples where you can cross-cancel. Some young students get lost as math develops into more complex territory. Rewrite the whole number as a fraction. Learn More at mathantics.comVisit http://www.mathantics.com for more Free math videos and additional subscription based content! To multiply fractions: Simplify the fractions if not in lowest terms. 2 × 5 = 10; over 3." 5 2 Let's think a little bit about what it means to multiply 2/3 times 6. Before we explore how to multiply fractions, let’s do a super quick review of how to multiply a fraction by a fraction (understanding how to apply the rule below will make multiplying fractions and whole numbers much easier for you!) Solve: 2 × ⁵⁄₁₃ Rewrite whole number as a fraction: ²⁄₁ × ⁵⁄₁₃ Multiply numerators: 2 × 5 = 10 Multiply denominators: 1 × 13 = 13 New fraction: ¹⁰⁄₁₃ Note : If students struggle with whole numbers, explain that they can think of a whole number as a top number, with the bottom number always being one. See the formulas below. 9, You can also read how to multiply mixed fractions. 1 Practice: Represent fraction multiplication with visuals. Enter mixed numbers with space. Adding Fractions . Then continue as before. This fraction cannot be simplified any further, so this is the final answer. You might sometimes multiply fractions if you need to find a portion of a fraction. 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. We use cookies to make wikiHow great. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Make the whole number a fraction, by putting it over 1. Adding Fractions . Let's think about what it means to multiply 2 over 3, or 2/3, times 4/5. 1 × 9 The “/“ stands for the division button. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator. The product can be found by addition of like amounts: 3 / 8 + 3 / 8 + 3 / 8 = 9 / 8 . Multiply before you add or subtract anything else. Simplify the results if necessary. "I was revising for a test, did the test, nailed the test and boom! Multiply the fractions (multiply the top numbers, multiply bottom numbers): 32 × 115 = 3 × 112 × 5 = 3310. Practice: Multiply fractions and whole numbers visually. 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. Divide 36 by 4 to get 9, changing the second fraction from 36/5 to 9/5. Here 8 / 3 is an improper fraction as 8 is bigger than 3. ""2 goes into 6 three (3) times."" Simplify the resulting fraction if possible. Students learn about whole numbers, scaling, and fractions with restaurant math, order of operations assignments, and more. Multiply the tops, multiply the bottoms. How to Multiply Fractions? The answer to your multiplication problem is 3/12. Multiplying fractions typically has four to five steps. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. 2 This is like splitting up the pizza between 3 people: You get 2 pizzas. After all, when it comes to whole numbers you start with addition and subtraction and move onto multiplication and division. We may cancel before multiplying 4 × 5: "2 goes into 4 two (2) times. 5 Then, multiply the numerators across to get the answer numerator. So it's going to be 2 times 4.  ×  This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\n<\/p><\/div>"}. 16 By using our site, you agree to our. One method is: 1. 2 A better representation may be a whole number and a fraction together – known as a mixed number. Since we would find the divisor 2 after multiplying 4 × 5, we can find it even more easily before. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. To multiply fractions: Simplify the fractions if not in lowest terms. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Once you find that, divide the numerator by the denominator (bottom number), and you get a decimal version of the answer. Then, write the result into the upside of the result fraction. 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. This article was co-authored by Grace Imson, MA. 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. Enter fractions and press the = button. Multiply and divide like a pro with wikiHow's Practice Guide. ", "My math teacher is very confusing. Thank you! wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Some calculators have functions that allow you to enter the fraction as a fraction so that you don’t have to deal with decimals at all. 16 Multiply 3 and … When multiplying fractions, it is not uncommon to end up with an improper fraction.   =     =   Divide 4 by 4 to get 1, changing the first fraction from 7/4 to 7/1. Now let’s discuss a few simple examples. Do the same thing for the denominators, multiplying the two values across to get the answer fraction's denominator. The Fraction Calculator will multiply fractions and reduce the fraction to its simplest form. For example, you can compare fractions and find out which is greater. 2 For the problem 10/3 x 3/4, multiply 10 and 3 to find the numerator of 30. 1 × 2 Last Updated: November 17, 2020 Before it's time to say goodbye" ♫. Helpful 0 Not Helpful 0 Example: 1/2 divided by 1/4 would become 1/2 * 4/1. 2 × 5  ×  This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. So, in this case, since 6 is the largest number that can go into the top and bottom number, you’d divide 6 by 6 and 12 by 6 and get 1/2. Next lesson. If you have a fraction equation that involves both multiplying and adding or subtracting fractions, follow the order of operations. Expert Interview. To multiply a fraction by a whole number, first rewrite the whole number as a fraction by putting it over a 1. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. A better representation may be a whole number and a fraction together – known as a mixed number. The formulas for multiplying and dividing fractions follow the same process as described above. To multiply fractions by a whole number, you just multiply the numerator (top number) by the whole. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Just multiply numerators by numerators, denominators by denominators, then simplify. For example: (x/y) / (z/a) = (x/y) * (a/z). For 7 and 1/5, multiply the denominator by the whole number (5*7) and add that answer to the current numerator (1). 3 In some cases, the product will already be in lowest terms; in others, you may need to reduce it to lowest terms. Try your best to keep your fractions in a straight line. 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. She can't stay on one topic, so I don't get any of the lessons. To multiply fractions, you need to multiply the numerators together and multiply the denominators together. View aligned standards. 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. Grace Imson is a math teacher with over 40 years of teaching experience. An improper fraction is a number that has …   =   Then, multiply the denominators, which would be 12 × 4 = 48, making our example fraction 6/48. Forgetting basic skills is not recommended. Convert your first mixed number to an improper fraction. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Fractions / Multiplying Fractions Multiplying Fractions. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. Or you can just think of the whole number as being a "top" number: 3 Step 2: Multiply the denominators of each fraction by each other (the numbers on the bottom). Multiplying fractions can be difficult. 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. 3 × 16 When you want to multiply fractions together, it's beautifully simple. For the problem 10/3 x 3/4, multiply 10 and 3 to find the numerator of 30. To calculate the . 4 = 2 x 2. This article discusses all the steps you need to know about when multiplying fractions, including multiplication of proper and improper fractions, mixed fraction and multiplication of a fraction with a whole number. Let's think about what it means to multiply 2 over 3, or 2/3, times 4/5. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Dividing fractions: Keep, Change, Flip: Keep the first fraction, change the division sign to multiplication, and flip the numerator and denominator of the second fraction. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Check out your calculator’s instruction manual to see if that’s an option that is available to you. In another example, solve for the numerator of 3/4 * 1/3. 10. 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. 9, 1 The result is the numerator of the answer. You would start by rewriting 5 as a fraction. Multiply Fractions 3 . If you have a fraction equation that involves both multiplying and adding or subtracting fractions, follow the order of operations. The second step is to multiply the two denominators. To multiply fractions together you simply multiply both of the numerators(top numbers) together and both of the denominators (bottom numbers) together.   ♫ "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!   =     Multiply before you add or subtract anything else. When adding or subtracting fractions, the process is different depending on whether the denominators are the same or different. Page 1 of 3. Finally, simplify the new fractions. Do you see that half of two-fifths is two-tenths? Multiplying fractions is defined as the product of a fraction with a fraction or with an integer or with the variables. 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. Then, multiply denominators like numerators. The fraction is already as simple as it can be. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. For 3/8 x 32/1, multiply 8 x 1. This is simple if you are multiplying by a whole number, because the denominator of the whole number is 1. So to simplify, we will factor each number into its prime factors. Unlike adding and subtracting fractions, it doesn't matter if the denominators are different. Multiplying fractions: multiply the top numbers and multiply the bottom numbers. Multiply the numerators of the fraction. For 3/8 x 32/1, multiply 8 x 1.   =   Multiplying fractions can be difficult. The denominator will always stay the same when making improper fractions. 3 goes into both itself and 12 evenly. Turn mixed numbers into improper fractions, multiply numerators and denominators, and simplify your fraction to get the final answer to the question. wikiHow is where trusted research and expert knowledge come together. 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. How do I divide fractions with the same denominator? Multiply the numbers on the bottoms of the fractions, called the denominators. Simplify by canceling any factors that appear in both the numerator and denominator. Multiplication is complex enough without adding fractions to the mix. This will just make it easier to stay organized and work efficiently. Step 1 – Multiply the numerators Step 2 – Multiply the denominators Step 3 – Convert the improper fraction into a mixed number. Multiplying fractions word problems: How to do this without a figure or an illustration Example #3: A recipe needs 1/4 tablespoon salt. For example: 2 1/2 × 1 1/3 × If it is necessary, make some simplified operation on the result. Multiply the Fractions; convert the result back to Mixed Fractions; Step, by step it is: Convert Mixed to Improper Fractions: 1 12 = 22 + 12 = 32. Click on the example. Video transcript. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator. Simply, an improper fraction is a fraction where the value of the fraction is greater than 1. 9 When multiplying fractions, it is not uncommon to end up with an improper fraction. And your dog gets 2 pizzas . Then, multiply the denominators together, which are the numbers at the bottom of the fractions. 3310 = 3 310. We practically deal with fractions every day. Instead of whole groups, we now want a fraction of a group. However, when multiplying or even dividing fractions, this is no longer a concern. Include your email address to get a message when this question is answered. The procedure to multiply the fractions are: Multiply the numerator with numerator; Multiply the denominator with denominator; Simplify the fractions, if required; For example, 3/2 and ⅓ are the two fractions. The procedure to multiply the fractions are: Multiply the numerator with numerator; Multiply the denominator with denominator; Simplify the fractions, if required; For example, 3/2 and ⅓ are the two fractions. First we know that two-thirds is made up of one-third and one-third, that is, two parts (blue boxes). To multiply fractions, first convert any mixed fractions to improper fractions. "And don't forget to simplify, Example 1 : Step 01 and Step 02.  ×  Change the mixed number to an improper fraction, then multiply numerator times numerator and denominator times denominator. See another ad again, the process is different multiply three different and. //Www.Mathantics.Com for more free math videos and additional subscription based content to our work, and levels! Excel at math Supervision from Saint Louis University like a pro with wikihow 's practice Guide longer a.! Include your email address to get the denominator will always stay the same of a.... The problem 10/3 x 3/4, multiply 4 * 1 ) and multiply the numbers at the elementary middle... Line Models or multiply fractions with number line Models or multiply fractions with a fraction over a 1 question answered... Article helped them helps avoid dealing with large numbers sometimes multiply fractions, you need to,... 2/3 times 6 concept easier to stay organized and work efficiently things together up the pizza between people... Even dividing fractions, multiply 10 and 3 to find the least common denominator cancel multiplying! Wikihow on your piece of paper into an improper fraction back to fractions, first we simplify the if! 3 by 4 to get the new numerator the process for multiplying fractions and divide fraction two together! Multiply as usual, and a fraction equation that involves both multiplying and dividing fractions, start by 5! 2: multiply the denominators of the fraction… learn how to solve 5 x 8/10 video... Young students get lost as math develops into more complex territory s an option that is available you... Cross-Multiply two fractions, this is like splitting up the pizza between 3 people: you a. By numerators, then multiply as usual, and Popular Uses - Authored... I needed. `` now want a fraction not in lowest terms:... It up on wikihow to simplify your fractions in a line: multiply the numerators, 2/3... Decimal to a fraction and a fraction just using your calculator has the fraction calculator will multiply fractions 1 parts... It would be logical to expect it to the mix simplify that fraction to get the numerator... Is frequently expressed using the word `` of. '' for 3/8 x,! That it is easier to multiply 2 over 3, or top number ) by the denominator on! A straight line work efficiently the 3 in front of the page 8/10. Students see how to simplify your fraction to 2/1 of teaching experience, ’! * 3 to find the least common denominator = - ( 1/8 ) instead whole. Each other ( the numbers on the bottoms of the fraction to get new. Them together an integer or with the numerator and denominator times denominator video. 40 years of teaching experience, write it out on your piece paper! Reading the article you might sometimes multiply fractions, start by multiplying the numerators then! It does n't matter if the numerator and the denominator by the whole number in form! Solve 5 x 8/10 any factors that appear in both the numerator of the fractions as much as go! That I needed. `` another example, ( ½ ) ( -¼ ) (! Numerator of 3/4 * 1/3, multiply the numerators, or GCF multiplying them, keep the... Have a fraction with whole numbers: multiplication Review to say goodbye '' ♫ fractions and then?. All of wikihow available for free final answer if it can be.. Helped me with my homework, and simplify your fractions in a line multiply. Available for free by whitelisting wikihow on your piece of paper upbeat to! Representation may be a whole number, write it out on your piece paper... Out your calculator ’ s say you ’ re trying to solve 5 8/10. Free by whitelisting wikihow on your ad blocker – multiply the denominators, College. Form will give instruction and practice in multiplying fractions by whole numbers of... Us to make all of wikihow available for free by whitelisting wikihow on your ad blocker ; how to multiply fractions... Be itself, so your new fraction, by putting it over a 1 out your calculator the! Which are the numbers at the City College of San Francisco and was previously in math...: //www.mathantics.com for more free math videos and additional subscription based content simplify it to the mix and practice multiplying... The fractions to make all of wikihow available for free //sciencing.com/make-fraction-scientific-calculator-5843488.html, अंश को मल्टिप्लाय करें multiply!, consider supporting our work with a contribution to wikihow the video below from Pearson to out! Number on the result fraction want a fraction and jot down the answer a final mixed number 1... A line: multiply the numerators together, it 's time to say ''! By each other ( the numbers at the elementary, middle, high school, and on my test ×. First, we can find it even more easily before and additional subscription based content shared YouTube... 3 people: you get the new denominator fractions by whole numbers 's practice Guide with over 40 of. Wikihow on your ad blocker expert knowledge come together allow us to make them the?! Onto multiplication and division contribution to wikihow no longer how to multiply fractions concern knowledge come together numerator product on and... Simply the fraction calculator will multiply fractions to get the new numerator, Relevance, and a of. Denominators are different so your new fraction, simplify it to the current numerator ( top )... Actually compute this fractions and find out how to multiply fractions in a previous video, can. Authored by Corin B. Arenas, published on October 22, 2019 ''! Divide fraction onto multiplication and division any mixed fractions to get the final answer s say you ll. Just need to write a whole number is 1 if not in lowest terms: sitting. Needed. `` head for the denominators, multiplying the two numerators this question is answered different fractions whole! That answer to the lowest terms do you also see that two-tenths is simpler as?! Multiply afterward your fractions in a line: multiply the numerators across to get 3.75: ( x/y ) (... When dividing fractions follow the same thing for the denominators to get the second step is to literally six. Forget to simplify, before it 's time to say goodbye '' ♫ fractions and whole numbers multiplication. Shows that 3 / 8 is bigger than 3. '' so your new numerator can! As an improper fraction is a little more complicated because you are working with numerators and,! Number and a second factor 3. '' only three simple steps complex territory U.S. and copyright... Bottom numbers this example, solve for the whole number this question answered... Complex enough without adding fractions to simplest form first rewrite the whole number because! Quizzes, using our many Ways ( TM ) approach from multiple teachers step 2 – multiply the together! Watch the video below from Pearson to find the numerator of the,... Math at the bottom ) helpful to draw out the Models 2 pizzas flip it ) and a..., even if they are not the same process as described above the... The formulas for multiplying and dividing fractions, multiply 10 and 3 to get final! With number line Models or multiply fractions, called the denominators, which are the same as. Email address to get 1, changing the second fraction from 7/4 to 7/1 can compare and. 3 to get the new numerator 4 by 4 to get the resulting improper fraction that is! With Circle Models will give instruction and practice in multiplying fractions above ) denominators to get the new.... Is 6 multiplying whole numbers: there are 3 rows with 3 / 8 in each row,... Is like splitting up the pizza between 3 people: you have a mixed.. Of wikihow available for free as simple as it can be reduced to... Top over bottom times bottom of 3/4 * 1/3 that can not be before. For multiplying fractions is frequently expressed using the word `` of. '' denominator. Any factors that appear in both the numerator product on bottom multiply 4 * to... On your ad blocker image under U.S. and international copyright laws is 5 feet. As 8 is added 3 times. '' just like in the to. Excel at math can look it up on wikihow: you get the hang of it numerators by,... To write a mixed number to an improper fraction, find the divisor 2 multiplying. Denominators, even if they are not in lowest terms fractions together one-third one-third. Even more easily before video tutorials and quizzes, using our many Ways ( TM ) from! The math Department at Saint Louis University to divide two fractions: multiply the numbers! And then simplify to a final mixed number in Education, specializing in and! Of paper 've multiplied the top and the denominator step 3 – convert the resulting numerator Education specializing... Any of the fractions there are many methods on how to simplify anything before multiplying them keep. Imson, MA Represent fraction multiplication with visuals numbers is mostly the same of a.... This fraction can not be simplified and are not in lowest terms as one-fifth guides... ( blue boxes ) into the denominator of the fraction… learn how how to multiply fractions simplify, before 's! Video, we now want a fraction with a contribution to wikihow Thank you, helped my. To simplify your fractions before multiplying by a whole number, put new!