Write the answers in fraction form with the numerator product on top and the denominator product on bottom. Just see the example in section 5, where we end up with 4 x 2 / 3 = 8 / 3. 2 × 5 = 10; over 3." Practice: Multiply fractions and whole numbers. For the problem 10/3 x 3/4, multiply 10 and 3 to find the numerator of 30. To multiply fractions, start by multiplying the numerators together, which are the numbers at the top of the fractions. 1 × 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. 2 × 5 To divide two fractions, multiply the first fraction by the reciprocal. For example, if you’re trying to solve 2/3 × 3/4, you’d multiply 2 by 3 and get 6. A common multiple of 2 and 3 is 6.. Again, the advantage of reducing first is that we work with smaller numbers. Head on over to the next page to continue... 1; 2; 3; Continue > Fractions Games. Practice: Represent fraction multiplication with visuals. = wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Multiplying fractions calculator online. The Fraction Calculator will multiply fractions and reduce the fraction to its simplest form. 8 = 2 x 2 x 2. How do I calculate? Take your time, don’t rush your work, and you will get there in the end. Multiply the numerators of the fractions to get the new numerator. You may find that it is easier to use these formulas than to do the math to find the least common denominator. 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. Do you see that half of two-fifths is two-tenths? This article has been viewed 450,559 times. 3 × 16 For example, let’s say you’re trying to solve 5 x 8/10. Grace Imson is a math teacher with over 40 years of teaching experience. 3 × 1 Step 2: Multiply the denominators of each fraction by each other (the numbers on the bottom). Multiply as usual, and add a negative sign in front of the answer. If it is necessary, make some simplified operation on the result. Last Updated: November 17, 2020 Again, the advantage of reducing first is that we work with smaller numbers. We use cookies to make wikiHow great. 9 = 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. The “/“ stands for the division button. Multiply the bottom numbers (the denominators). 1 November 2019. 16 9 Here is another example. Divide 4 by 4 to get 1, changing the first fraction from 7/4 to 7/1. Once you find that, divide the numerator by the denominator (bottom number), and you get a decimal version of the answer. This image is **not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Simplify the resulting fraction if possible. For example: 2 1/2 × 1 1/3 × 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. × Here 8 / 3 is an improper fraction as 8 is bigger than 3. 9 Then, place the 3 in front of the decimal point to get 3.75. Any number times 1 will be itself, so your new numerator is 3. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. Some young students get lost as math develops into more complex territory. To multiply fractions easily, follow these steps: Multiply the numerators firstly. Grace Imson is a math teacher with over 40 years of teaching experience. 9 Multiplication is complex enough without adding fractions to the mix. 9 = 3 x 3. Here 8 / 3 = 2 2 / 3. How to multiply fractions? In a previous video, we've already seen how we can actually compute this. How do I divide fractions with the same denominator? Enter mixed numbers with space. Simplify the resulting fraction if possible. Just simplify the final answer if it can be simplified. ""2 goes into 6 three (3) times."" The product of your denominators is the denominator of your answer: 8. First, multiply all the numerators. Simplify the results if necessary. 2, 1 Helpful 0 Not Helpful 0 wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Practice: Multiply fractions and whole numbers visually. 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 the problem 10/3 x 3/4, multiply 10 and 3 to find the numerator of 30. She has taught math at the elementary, middle, high school, and college levels. 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. 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. Fractions / Multiplying Fractions Multiplying Fractions. Multiply the numerators together: anything sitting on top of the fraction gets multiplied together. 5 Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. Next lesson. How do I multiply a fraction with a negative fraction? First you multiply the numerators, then you multiply the denominators, even if they are not alike. Multiply the tops, multiply the bottoms. 1 × 2 The formulas for multiplying and dividing fractions follow the same process as described above. When dividing fractions, you get the second fraction, find the inverse (flip it) and multiply it by the first fraction. Step 4: Cross-Cancelling. Enter simple fractions with slash (/). Multiply Fractions 1 The parts of this multiplication example are the first factor 3 / 8, and a second factor 3. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. You might sometimes multiply fractions if you need to find a portion of a fraction. Multiplying Fractions by Whole Numbers: Multiplication Review. This image may not be used by other entities without the express written consent of wikiHow, Inc.\n<\/p>**

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**\u00a9 2020 wikiHow, Inc. All rights reserved. Simplify the resulting fraction if possible. 16 Take your time and work step by step so you can check your work as you go. = Multiply the denominators of the fractions to get the new denominator. Next you need to multiply the numerators, or top numbers, of the fractions together. Add Tip Ask Question Comment Download. Understand multiplication of fractions visually using area models and arrays, practice multiplying fractions and mixed numbers by whole numbers, multiplying two fractions and more. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Learn More at mathantics.comVisit http://www.mathantics.com for more Free math videos and additional subscription based content! By using this service, some information may be shared with YouTube. "And don't forget to simplify, Before it's time to say goodbye" ♫ Fractions and Whole Numbers. 9 Simplify if possible. (5*7) + 1 = 36. Then, multiply denominators like numerators. Example: 1/2 divided by 1/4 would become 1/2 * 4/1. To multiply fractions: Simplify the fractions if not in lowest terms. This is going to be equal to-- in the numerator, we just multiply the numerators. And you don't need to simplify anything before multiplying unless you can and want to. After all, when it comes to whole numbers you start with addition and subtraction and move onto multiplication and division. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Multiply the fractions together (just like in the multiplication section above). To multiply fractions, first convert any mixed fractions to improper fractions. After you've multiplied the top and bottom, simply the fraction by finding the greatest common factor, or GCF. Enter simple fractions with slash (/). 9, You can also read how to multiply mixed fractions. Multiplying fractions. What about multiplying fractions and whole numbers? 10. This image may not be used by other entities without the express written consent of wikiHow, Inc.\n<\/p>**

\n<\/p><\/div>"}. Here 8 / 3 is an improper fraction as 8 is bigger than 3. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator. Try your best to keep your fractions in a straight line. So it's going to be 2 times 4. Simplify the resulting fraction if possible. This article, "Thank you, helped with my cramming. Success! To multiply two fractions, then, simply multiply the numerators and multiply the denominators to get the product. The result is the numerator of the answer. In a previous video, we've already seen how we can actually compute this. How do I multiply three different fractions and then simplify? 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. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. 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. 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). To multiply fractions, start by multiplying the numerators, or top number of each fraction. Multiply and divide like a pro with wikiHow's Practice Guide. × However, when multiplying or even dividing fractions, this is no longer a concern. Multiplying fractions might seem a little daunting at first, but once you get the hang of setting up your equation, you’ll be able to get those answers in no time! Learn how to multiply fractions and divide fraction. For 3/8 x 32/1, multiply 8 x 1. One way to think about it is to literally take six 2/3 and add them together. An improper fraction is a number that has … = 15 = 3 x 5. How do I multiply a fraction by a whole number? For example, 6/8 can be reduced down to 3/4. Top times top over bottom times bottom. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Multiply the numbers on the bottoms of the fractions, called the denominators. Subject. Turn mixed numbers into improper fractions, multiply numerators and denominators, and simplify your fraction to get the final answer to the question. Each example will have a mixed number times a whole number. Check out your calculator’s instruction manual to see if that’s an option that is available to you. Simply, an improper fraction is a fraction where the value of the fraction is greater than 1. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. To multiply fractions by a whole number, you just multiply the numerator (top number) by the whole. 3 × 2 Multiply Fractions 2 Multiplication is a form of addition. The product of your denominators is the denominator of your answer: 8. 2 × 5 = 10; over 3." Unlike adding and subtracting fractions, it doesn't matter if the denominators are different. 4 = 2 x 2. In this lesson, students see how to solve a multiplication problem that contains a fraction and a decimal. Level up now! The number above the scoreline is called the numerator and the number below the scoreline is the denominator. Video transcript. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. 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. 6 The fraction is already as simple as it can be. 2 Start activity Play Bitesize games. 3. Cross-multiplication is a handy math skill to know. Note that multiplying fractions is frequently expressed using the word "of." This fraction cannot be simplified any further, so this is the final answer. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Thanks! A fraction is a division of two numbers. Multiply the denominators of the fractions to get the new denominator. Reduce, and if the answer is improper, turn it into a mixed fraction. If you have a fraction equation that involves both multiplying and adding or subtracting fractions, follow the order of operations. This article was co-authored by Grace Imson, MA. The first step when multiplying fractions is to multiply the two numerators. Multiplying fractions calculator. Finally, simplify the new fractions. Equivalent fractions. This method involves cross multiplication of the fractions. To cross-multiply two fractions: Multiply the numerator of the first fraction by the denominator of the second fraction and jot down the answer. = Put the new numerator over the original denominator for your improper fraction. The answer to your multiplication problem is 3/12. So it's going to be 2 times 4. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. (4*1) + 3 = 7. Multiplying fractions can be difficult. This is going to be equal to-- in the numerator, we just multiply the numerators. 2 Therefore, your new fraction would be 6/12. However, sometimes the denominators are different. "I was revising for a test, did the test, nailed the test and boom! Your friend gets 2 pizzas. Well, that's of 6. 2 It doesn't matter if the denominator is different. {"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. To multiply fractions, first we simplify the fractions if they are not in lowest terms. How to Multiply Fractions? 2. Multiply before you add or subtract anything else. And your dog gets 2 pizzas . It would be logical to expect it to be harder. Just multiply the numerators to get the numerator and multiply the denominators to get the denominator. When multiplying fractions, it is not uncommon to end up with an improper fraction. ", "My math teacher is very confusing. Multiply the denominator by the whole number (4 *1) and add that answer to the current numerator (3). 2 Simplify the fractions as much as you can before multiplying them so you're working with smaller numbers. The second step is to multiply the two denominators. A fraction is a division of two numbers. You can also simplify single fractions if the numerator and denominator have a common factor. Include your email address to get a message when this question is answered. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. How do I multiply fractions with high value denominators that cannot be simplified and are not the same? 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!) In this example, you’d multiply 3 by 4 and get 12. Multiplying fractions is defined as the product of a fraction with a fraction or with an integer or with the variables. Math Instructor, City College of San Francisco. The number above the scoreline is called the numerator and the number below the scoreline is the denominator. How much salt does 8 such recipe need? In some cases, the product will already be in lowest terms; in others, you may need to reduce it to lowest terms. Our multiplying fractions worksheets are here to help your child keep up and excel at math. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Here 8 / 3 = 2 2 / 3. There are 3 rows with 3 / 8 in each row. To divide fractions you multiply by the reciprocal. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Since we would find the divisor 2 after multiplying 4 × 5, we can find it even more easily before. When adding or subtracting fractions, the process is different depending on whether the denominators are the same or different. 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. 3310 = 3 310. For example: 1/2 × 1/3. Make the whole number a fraction, by putting it over 1. ", https://sciencing.com/make-fraction-scientific-calculator-5843488.html, अंश को मल्टिप्लाय करें (Multiply Fractions), consider supporting our work with a contribution to wikiHow. Step 1 – Multiply the numerators Step 2 – Multiply the denominators Step 3 – Convert the improper fraction into a mixed number. You may find that it is easier to use these formulas than to do the math to find the least common denominator. Make the whole number a fraction, by putting it over 1. 2. Example: 2 3 × 5. Video transcript. 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. See the formulas below. If your calculator has the fraction function, you can usually convert the decimal to a fraction just using your calculator. Do you also see that two-tenths is simpler as one-fifth? This article has been viewed 450,559 times. Multiplying fractions and whole numbers . Then, multiply the denominators together, which are the numbers at the bottom of the fractions. You would start by rewriting 5 as a fraction. Simple, yet clearly explained. Change the mixed number to an improper fraction, then multiply numerator times numerator and denominator times denominator. First, multiply all the numerators. Since we would find the divisor 2 after multiplying 4 × 5, we can find it even more easily before. She can't stay on one topic, so I don't get any of the lessons. Step 2: Multiply the denominators of each fraction by each other (the numbers on the bottom). We can also multiply two 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. helped me with my homework, and on my test. Multiply fractions in a line: Multiply the denominators to obtain the final denominator and multiply the numerators to obtain the final numerator. The first step when multiplying fractions is to multiply the two numerators. Multiply Fractions with Number Line Models or Multiply Fractions With Circle Models will give instruction and practice in multiplying fractions. **

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