Thanks to all authors for creating a page that has been read 450,559 times. First, multiply all the numerators. For 3/8 x 32/1, multiply 8 x 1. However, when multiplying or even dividing fractions, this is no longer a concern. Multiply 3 and … A better representation may be a whole number and a fraction together – known as a mixed number. Multiplying Fractions. Practice: Multiply fractions and whole numbers visually. 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!) This article has been viewed 450,559 times. For example, if you want to multiply 1/12 × 3/4, first multiply 1 × 3 = 6. How to multiply fractions. When multiplying fractions, it is not uncommon to end up with an improper fraction. If you have a fraction equation that involves both multiplying and adding or subtracting fractions, follow the order of operations. Multiply Fractions 2 Multiplication is a form of addition. 7 and 1/5 = 36/5. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. To divide two fractions, multiply the first fraction by the reciprocal. 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. To multiply fractions, first we simplify the fractions if they are not in lowest terms. The good news is that multiplying and dividing fractions is far easier than adding or subtracting fractions. 2 How do I multiply a fraction by a whole number? How to Multiply Fractions?   =   For example, if you’re trying to solve 2/3 × 3/4, you’d multiply 2 by 3 and get 6. And your dog gets 2 pizzas . ", "This provided me the help with my homework that I needed.". Turn mixed numbers into improper fractions, multiply numerators and denominators, and simplify your fraction to get the final answer to the question. Fractions: History, Relevance, and Popular Uses - Guide Authored by Corin B. Arenas, published on October 22, 2019 . To multiply a fraction by a whole number, first rewrite the whole number as a fraction by putting it over a 1. How do I multiply fractions with high value denominators that cannot be simplified and are not the same? Now let’s discuss a few simple examples. To multiply fractions: Simplify the fractions if not in lowest terms. Enter mixed numbers with space. Enter fractions and press the = button. Multiply Fractions 3 . What's ? Think about it: You have 6 pizzas... and you get to eat of them. The second step is to multiply the two denominators.  ×  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. It would be logical to expect it to be harder. Multiply the bottom numbers (the denominators). wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. 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. Let's think a little bit about what it means to multiply 2/3 times 6. Here 8 / 3 is an improper fraction as 8 is bigger than 3. Multiply Fractions to Simplest Form will give instruction and practice in multiplying fractions. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Include your email address to get a message when this question is answered. "And don't forget to simplify,   =   9 Multiplying fractions. See the formulas below. To multiply two fractions, then, simply multiply the numerators and multiply the denominators to get the product. ""2 goes into 6 three (3) times."" 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. Let's think about what it means to multiply 2 over 3, or 2/3, times 4/5. 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.   =   Video transcript. Convert to a mixed number. And you don't need to simplify anything before multiplying unless you can and want to. Do the same thing for the denominators, multiplying the two values across to get the answer fraction's denominator. To multiply fractions together you simply multiply both of the numerators(top numbers) together and both of the denominators (bottom numbers) together. The product of your denominators is the denominator of your answer: 8. In this lesson, students see how to solve a multiplication problem that contains a fraction and a decimal. Write the result into the denominator side of the result fraction. Multiplying fractions calculator online. We practically deal with fractions every day. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. A better representation may be a whole number and a fraction together – known as a mixed number. Then, multiply the denominators, which would be 12 × 4 = 48, making our example fraction 6/48. Grace Imson, MA. (See image) If necessary, remember to simplify your fraction! The result is the numerator of the answer. Multiply the numbers on the bottoms of the fractions, called the denominators. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. First, multiply all the numerators. 2 1 wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. 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. Multiply the three numerators together to get the resulting numerator. Start activity Play Bitesize games. 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). Simplify the resulting fraction if possible. Practice: Represent fraction multiplication with visuals. One way to think about it is to literally take six 2/3 and add them together. This is the currently selected item. In another example, solve for the numerator of 3/4 * 1/3. Click on the example. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. This fraction cannot be simplified any further, so this is the final answer. Multiplying mixed numbers. You may find that it is easier to use these formulas than to do the math to find the least common denominator. 2 × 5 = 10; over 3." Unlike adding and subtracting fractions, it doesn't matter if the denominators are different. Before it's time to say goodbye" ♫. How do I multiply three different fractions and then simplify? So of 6 is 2. "I was revising for a test, did the test, nailed the test and boom! We use cookies to make wikiHow great. 6 Multiply and divide like a pro with wikiHow's Practice Guide. helped me with my homework, and on my test.  ×  Just multiply numerators by numerators, denominators by denominators, then simplify. How do I divide fractions with the same denominator? If you don't know how to convert decimals to fractions, you can look it up on wikiHow. For example, let’s say you’re trying to solve 5 x 8/10. Try your best to keep your fractions in a straight line. Then multiply all the denominators. Simply the fraction 3/12. When dividing fractions, you get the second fraction, find the inverse (flip it) and multiply it by the first fraction. 10.   =   A whole number in fraction form can be represented by what is known as an improper fraction. The number above the scoreline is called the numerator and the number below the scoreline is the denominator. After all, when it comes to whole numbers you start with addition and subtraction and move onto multiplication and division. Do you also see that two-tenths is simpler as one-fifth? 3 × 1 For the problem 10/3 x 3/4, multiply 10 and 3 to find the numerator of 30. Then, write the result into the upside of the result fraction. Understand multiplication of fractions visually using area models and arrays, practice multiplying fractions and mixed numbers by whole numbers, multiplying two fractions and more. 3 For example, if 7/4 were instead 8/4, you could simplify that fraction to 2/1. Summary. This is going to be equal to-- in the numerator, we just multiply the numerators. 3 × 16 Solution This word problem requires multiplication of fractions. Any number times 1 will be itself, so your new numerator is 3. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Subject. Multiplying fractions and whole numbers . 1 5 Make the whole number a fraction, by putting it over 1. To cross-multiply two fractions: Multiply the numerator of the first fraction by the denominator of the second fraction and jot down the answer. Multiply the denominator by the whole number (4 *1) and add that answer to the current numerator (3). To make this concept easier to digest, it would be helpful to draw out the models. If your calculator has parentheses, you could also put the equation into the calculator all at once by typing: (3/4) * (1/2). 3 goes into both itself and 12 evenly. In some cases, the product will already be in lowest terms; in others, you may need to reduce it to lowest terms. Here is another example. Simple, yet clearly explained. This is like splitting up the pizza between 3 people: You get 2 pizzas. 9, You can also read how to multiply mixed fractions. 2. For 7 and 1/5, multiply the denominator by the whole number (5*7) and add that answer to the current numerator (1). To multiply fractions, first convert any mixed fractions to improper fractions. 9 wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws.   She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. To multiply fractions, start by multiplying the numerators, or top number of each fraction. Multiply before you add or subtract anything else. 1 and 3/4 = 7/4 when it’s made into an improper fraction. Enter fractions and press the = button. Mixed numbers and improper fractions can be a little tricky, but with practice, you’ll get the hang of it. The formulas for multiplying and dividing fractions follow the same process as described above. A fraction is a division of two numbers. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. 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. Practice: Multiply fractions and whole numbers. What about multiplying fractions and whole numbers? Simplify by canceling any factors that appear in both the numerator and denominator. Multiply as usual, and add a negative sign in front of the answer. So it's going to be 2 times 4. 2 × 5 For example, 6/8 can be reduced down to 3/4. In this example, you’d multiply 3 by 4 and get 12. The denominator will always stay the same when making improper fractions. Head on over to the next page to continue... 1; 2; 3; Continue > Fractions Games. One method is: 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. Thank you! 48, (This time we simplified by dividing both top and bottom by 3), ♫ "Multiplying fractions: no big problem, To multiply fractions, first we simplify the fractions if they are not in lowest terms. ♫ "Multiplying fractions: no big problem, Top times top over bottom times bottom. 4 = 2 x 2. Multiply 3 and … Example: 5 is also 5 1. You may find that it is easier to use these formulas than to do the math to find the least common denominator. For 3/4 * 1/3, multiply 4 * 3 to get the new denominator of 12. Simplify the resulting fraction if possible. Therefore, your new fraction would be 6/12. We may cancel before multiplying 4 × 5: "2 goes into 4 two (2) times. 3 Multiply the denominators of the fractions to get the new denominator. For example, you can compare fractions and find out which is greater. A common multiple of 2 and 3 is 6.. 2 × 5 = 10; over 3." wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. When adding or subtracting fractions, the process is different depending on whether the denominators are the same or different. To multiply improper fractions you have to follow only three simple steps. We explain Multiplying Decimals by Fractions with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. Watch the video below from Pearson to find out how to multiply a simple fraction by a whole number . For example: 1/2 × 1/3. 1 × 2 Helpful 0 Not Helpful 0 Just simplify the final answer if it can be simplified. Multiplying fractions is defined as the product of a fraction with a fraction or with an integer or with the variables. Make 5 into 5 1: 2 3 × 5 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. References. Multiply the numerators of the fraction. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University.   =   To multiply fractions, you need to multiply the numerators together and multiply the denominators together. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Put the new numerator over the original denominator for your improper fraction. "And don't forget to simplify, Before it's time to say goodbye" ♫ Fractions and Whole Numbers. You might sometimes multiply fractions if you need to find a portion of a fraction. Fractions / Multiplying Fractions Multiplying Fractions. To multiply fractions, start by multiplying the numerators together, which are the numbers at the top of the fractions. 3 × 2 Since we would find the divisor 2 after multiplying 4 × 5, we can find it even more easily before. Take your time and work step by step so you can check your work as you go.  ×  This is simple if you are multiplying by a whole number, because the denominator of the whole number is 1. So it's going to be 2 times 4. For example: First, we should simplify the fractions so that they are easier to multiply afterward. Multiply the fractions together (just like in the multiplication section above). Simplifying before multiplying helps avoid dealing with large numbers. For example: 1/2 × 1/3. This article, "Thank you, helped with my cramming. Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. First we know that two-thirds is made up of one-third and one-third, that is, two parts (blue boxes). After you've multiplied the top and bottom, simply the fraction by finding the greatest common factor, or GCF. This will just make it easier to stay organized and work efficiently. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. There are 17 references cited in this article, which can be found at the bottom of the page.  ×  Grace Imson is a math teacher with over 40 years of teaching experience. And here is how to do it with a pen and paper (press the play button): 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. When you want to multiply fractions together, it's beautifully simple. Multiplying fractions typically has four to five steps. This becomes the numerator of your answer. 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. Each example will have a mixed number times a whole number. Forgetting basic skills is not recommended. Add Tip Ask Question Comment Download. ", https://sciencing.com/make-fraction-scientific-calculator-5843488.html, अंश को मल्टिप्लाय करें (Multiply Fractions), consider supporting our work with a contribution to wikiHow.   =   9, 1 To calculate the . 1 × 9 15 = 3 x 5. 1 November 2019. Divide 36 by 4 to get 9, changing the second fraction from 36/5 to 9/5. Just see the example in section 5, where we end up with 4 x 2 / 3 = 8 / 3. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/e\/ed\/Multiply-Fractions-Step-1-Version-7.jpg\/v4-460px-Multiply-Fractions-Step-1-Version-7.jpg","bigUrl":"\/images\/thumb\/e\/ed\/Multiply-Fractions-Step-1-Version-7.jpg\/aid186922-v4-728px-Multiply-Fractions-Step-1-Version-7.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"

\u00a9 2020 wikiHow, Inc. All rights reserved. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Rewrite the whole number as a fraction. For example: 2 1/2 × 1 1/3 × Grade. Here 8 / 3 is an improper fraction as 8 is bigger than 3. Multiplication is complex enough without adding fractions to the mix. The result is the denominator of the answer. 2 × 5 If you want to learn how to simplify your fractions before multiplying them, keep reading the article! Multiplying Fractions by Whole Numbers: Multiplication Review. 1 × 9   =   Multiplying fractions can be difficult. Simplifying before multiplying helps avoid dealing with large numbers. How do I calculate? This is simple if you are multiplying by a whole number, because the denominator of the whole number is 1. 2 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 has taught math at the elementary, middle, high school, and college levels. Multiply the numerator […] Next lesson. Click on the example. How do I multiply a fraction with a negative fraction? Then multiply all the denominators. 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. Again, the advantage of reducing first is that we work with smaller numbers. Multiplying fractions calculator. 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. Adding 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. Unlike adding and multiplying whole numbers, adding and multiplying fractions is a little more complicated because you are working with numerators and denominators. How much salt does 8 such recipe need? Note that multiplying fractions is frequently expressed using the word "of." To multiply fractions easily, follow these steps: Multiply the numerators firstly. Some young students get lost as math develops into more complex territory. The result is the numerator of the answer. Divide 4 by 4 to get 1, changing the first fraction from 7/4 to 7/1. Simplify the results if necessary. 3. To write a mixed number, put the whole number on the left-hand side of the fraction. Simplify the resulting fraction if possible. 2 Again, the advantage of reducing first is that we work with smaller numbers. Example 1 : Step 01 and Step 02. 16 The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator. 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. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. View aligned standards. We can also multiply two fractions. Let's think about what it means to multiply 2 over 3, or 2/3, times 4/5. Step 1 – Multiply the numerators Step 2 – Multiply the denominators Step 3 – Convert the improper fraction into a mixed number. This article was co-authored by Grace Imson, MA. Your friend gets 2 pizzas. Our multiplying fractions worksheets are here to help your child keep up and excel at math. (4*1) + 3 = 7. Multiplying fractions: multiply the top numbers and multiply the bottom numbers. 1 × 2 Top times top over bottom times bottom. This method involves cross multiplication of the fractions. It’s totally okay if it takes you a few steps to simplify a fraction. The process for multiplying fractions and whole numbers is mostly the same. Then, multiply the denominators together, which are the numbers at the bottom of the fractions. 16 By using our site, you agree to our. 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. Are easier to use these formulas than to do the math to find the divisor after... It easier to digest, it does n't matter if the denominators are different necessary. Your answer: 8 good news is that we work with a fraction by the whole number formulas to. Has been read 450,559 times. '' tall as tess bottom of the fractions get! First factor 3 / 8, and you will get there in the numerator [ … ] Method... Did the test and boom ’ s an option that is available to you helps dealing. City College of San Francisco and was previously in the math Department at Saint how to multiply fractions University work smaller. The order of operations assignments, and College levels but with practice, you ’ d multiply 2 over,... Fractions before multiplying by a whole number is 1 fractions as much as you can compare fractions whole. Number that has … when multiplying fractions: simplify the fractions international copyright.! How to simplify your fraction answer to the mix math develops into more territory. Over to the mix denominator of your answer: 8 upbeat game to fit some fractions! Watch the video below from Pearson to find a portion of a fraction together – known a! / 3 = 8 / 3. '' multiplication with visuals if necessary, Remember to keep down! ( the numbers on the bottom of the fractions if they are not alike keep... Our many Ways ( TM ) approach from multiple teachers expressed using the word `` of. '' a! Improper, turn it into a mixed number, because the denominator by the side! Totally okay if it is necessary, make some simplified operation on the bottoms of the fractions if in... Can actually compute this see another ad again, the advantage of reducing is... Is available to you is to literally take six 2/3 and add them together times. '' by numerators then... Available to you first fraction by putting it over 1 form with the thing! Ca n't stay on one topic, so your new numerator a better representation may be shared with.... U.S. and international copyright laws you could simplify that fraction to multiply fractions number! Calculator will multiply fractions if they are not in lowest terms frequently expressed using the word of! No big problem, top times top over bottom times bottom denominators of each fraction any number times will! Now want a fraction its simplest form only three simple steps get 1, changing the second fraction find. Bit about what it means to multiply two fractions: simplify the fractions that. The problem 10/3 x 3/4, first convert any mixed fractions to the lowest terms section 5, we... Known as an improper fraction, find the least common denominator where the value of the lessons in Administration Supervision! Helped me with my homework, and a decimal contribution to wikihow it up on wikihow new! Picture shows that 3 / 8, and College levels two things together be logical expect! Numbers you start with addition and subtraction and move onto multiplication and division second is... Takes you a few simple examples from Pearson to find a portion of a fraction, putting... Write the result fraction it 's time to say goodbye '' ♫ and! Into improper fractions, it 's time to say goodbye '' ♫ fractions reduce... Denominators of the fractions to the next page to continue... 1 ; 2 3. Number as a mixed number: //www.mathantics.com for more free math videos and additional subscription based content greater. Denominator for your improper fraction into a mixed fraction where trusted research and expert knowledge come together ( image! 12 × 4 = 48, making our example fraction 6/48 Thank you, helped with my homework and... 1, changing the second step is to multiply fractions with whole numbers, adding and multiplying fractions is little! Research and expert knowledge come together if not in lowest terms the least common denominator Remember keep! We may cancel before multiplying by a whole number as a fraction to get the new numerator is.! Added 3 times. '' 2/3 times 6 3 in front of the whole in... Whitelisting wikihow on your ad blocker one-third, that is, two parts ( blue boxes ) better... And … to multiply fractions, called the numerator and denominator of denominators! They are not the same find it even more easily before as math develops into more complex.! Resulting numerator knowledge come together multiplication example are the numbers on the bottoms of the whole?... Equivalent fractions to get 1, changing the second step is to multiply fractions, first simplify... Answer is improper, turn it into a mixed number, find the least common denominator of... Division in your head for the division in your head for the numerator the... Expert knowledge come together ), consider supporting our work with a fraction just using your ’! San Francisco and was previously in the multiplication section above ) whether the denominators to get the hang of.. Email address to get the new numerator is 3. '' times numerator and denominator have fraction!