# How Do U Divide Mixed Fractions

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This article was written by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and levels on a variety of subjects, including college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After receiving a perfect 800 math score and a 690 English score on the SAT, David received a Dickinson Scholarship from the University of Miami, where he graduated with a degree in Business Administration. Additionally, David has worked as an online video instructor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

## How Do U Divide Mixed Fractions

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#### Dividing Fractions Using Fraction Strips

A mixed number, or mixed fraction, is a number that combines a whole number and a fraction. It is possible to divide mixed numbers. However, to do this they must first be converted to improper fractions. Once the mixed numbers are converted, you can divide as you would any other fraction.

The easiest way to divide mixed fractions is to first convert them to improper fractions. Begin by multiplying the whole number in each mixed fraction by its denominator. For example, if one of the fractions is 6 ½, multiply 6 x 2 to get 12. Then add the result to the calculator. In this example, 12 + 1 = 13. This becomes the new numerator of your fraction, giving you the improper fraction 13/2. After you have converted all the mixed fractions to improper fractions, you can divide them. Suppose you have to solve the problem 6 ½ ÷ 2 ¼. Written as improper fractions, this would be 13/2 ÷ 9/4. To do the division problem, find the equivalent of the divisor by reversing the fraction. Then multiply the two fractions together. So in our example, 13/2 ÷ 9/4 becomes 13/2 x 4/9. Now all you have to do is multiply the numbers and fraction names together. 13 x 4 = 52 and 2 x 9 = 18, so 13/2 ÷ 9/4 = 52/18. If you can, simplify your answer by dividing the numerator and denominator of the fraction by their greatest common factor. 52 and 18 both divide by a factor of 2, so you can simplify the fraction to 26/9. Now, convert the fraction back into a mixed number by dividing the numerator by the denominator. The number is the integer and the other number is the new numerator. 26 ÷ 9 = 2 with a remainder of 8. Therefore, 26/9 becomes a mixed fraction of 2 and eight nines. If you want to learn how to convert your improper fractions into mixed numbers, keep reading! We use cookies to do good. By using our website, you agree to our cookie policy.Cookie settings

### The Pemdas Rule Explained! (examples Included) — Mashup Math

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In mathematics, improper fractions are fractions where the numerator (top half) is a number greater than or equal to the denominator (bottom half). To convert an improper fraction to a mixed number (made of a fraction and a whole number, such as 2 & 3/4), divide the numerator by the denominator. Write the whole number answer next to a fraction with the remainder in the original numerator and denominator – now you have a mixed fraction!

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#### Convert Improper Fraction Into Mixed Fractions 15/2,28/3?? ​

To turn an improper fraction into a mixed number, start by writing the fraction as a division problem. Divide the numerator by the denominator. For example, if the improper fraction is 7/5, write it as 7 ÷ 5. Then write the integer part of the answer. In our example, 5 is divided by 7 once, so the whole number is 1. This leaves us with a remainder of 2. The remainder becomes the new numerator in the fraction, while the denominator will remain the same. So in the 7/5 example, you would get 7 ÷ 5 = 1 remainder 2. To express this as a fraction, write it as 1 and 2/5ths. If you want to convert it back to an improper fraction, multiply the whole number by the denominator and add the result to the numerator. The sum becomes the new numerator in the improper fraction and the denominator remains the same. If you want to know how to check your answer to make sure your mixed number is correct, keep reading! Welcome to this free, step-by-step guide to dividing fractions. This guide will teach you how to use a simple three-step method called Keep-Change-Flip to easily divide fractions by fractions (and fractions by whole numbers).

Below you will find several examples of how to divide fractions using the Keep-Change-Flip method along with an explanation of why the method works for any math problem that involves dividing fractions. Plus, this free guide includes an animated video lesson and a free practice worksheet with answers!

Before you learn how to divide fractions using the Keep-Change-Flip method, you need to make sure you understand how to multiply fractions together (which is even easier than division!).

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Since multiplying fractions is usually learned before dividing fractions, you probably already know how to multiply two fractions together. If this is the case, you can skip to the next section.

Rule for Multiplying Fractions: When multiplying fractions together, multiply the numbers together, then multiply the numbers as…

Now that you know how to multiply fractions, you’re ready to learn how to divide fractions using the simple 3-step Keep-Change-Flip method.

#### Multiplying Mixed Numbers (video)

To solve this example (and any problem where you need to divide fractions, we’ll use the Keep-Change-Flip method)

If we think of 1/2 ÷ 1/4 in the form of a question: How many 1/4s are in 1/2?

And then if we look at 1/4 and 1/2, we can clearly see that 1/2 contains 2 1/4, so the final answer is 2.

### How To Divide And Multiply Fractions: 5 Steps (with Pictures)

Just like example 01, you can solve this problem using the inversion change method as follows:

What if you need to divide a fraction by a whole number? It turns out that the process is exactly the same as the previous examples!

Notice that, in this example, you are dividing a fraction by a whole number. But it’s actually quite easy to convert a whole number into a fraction. All you have to do is rewrite the number as a fraction where the number itself is in the numerator and the denominator is 1.

## How To Divide Fractions In 3 Easy Steps With Examples, Worksheets & More

Now that you have rewritten the whole number as a fraction, you can use the Keep-Change-Flip method to solve the problem.

Watch the video lesson below to learn more about how to divide fractions by fractions and fractions by whole numbers: