# Divide Fractions With Different Denominators

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This article was written by Mario Banuelos, Ph.D. Mario Banuelos is a professor of mathematics at California State University, Fresno. With more than eight years of teaching experience, Mario specializes in mathematical biology, optimization, evolutionary statistical models of the genome, and data science. Mario earned a BA in mathematics from California State University, Fresno, and a Ph.D. in applied mathematics from the University of California, Merced. Mario has taught at both the high school and college levels.

## Divide Fractions With Different Denominators

#### Learn How To Subtract Fractions

To multiply fractions, just multiply the numerator and the denominator and simplify the result. To divide fractions, simply reverse the numerator and denominator of one fraction, multiply the result by the other fraction and simplify it. If you want to know how to divide and multiply fractions in the shortest time, follow the steps below.

## Adding And Subtracting Fractions With Unlike Denominators In 3 Steps — Mashup Math

This article was written by Mario Banuelos, Ph.D. Mario Banuelos is a professor of mathematics at California State University, Fresno. With more than eight years of teaching experience, Mario specializes in mathematical biology, optimization, evolutionary statistical models of the genome, and data science. Mario earned a BA in mathematics from California State University, Fresno, and a Ph.D. in applied mathematics from the University of California, Merced. Mario has taught at both the high school and college levels. This article has been viewed 487801 times.

To multiply fractions, start by multiplying the numerator or top number of each fraction. For example, if you want to multiply 1/12 x 3/4, first multiply 1 x 3 = 6. Then multiply the denominators, which is 12 x 48, so our example fraction will be 48/6. Once you’ve multiplied the high and low values, simply divide the fraction by finding the greatest common factor, or GCF. If a number is even, it can often start with 2. Once you have the GCF, divide the numerator and denominator to reduce the fraction. If we divide by 6, the sample fraction is reduced to 1/8. Read on to learn how to divide fractions. We use cookies to make it great. By using our site, you accept our cookie policy. Cookie settings

This article was written by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and levels in a variety of subjects, as well as providing college admissions counseling and test prep for the SAT, ACT, ISEE, and more. After scoring a perfect 800 in math and 690 in English on the SAT, David was awarded a Dickinson scholarship to the University of Miami, where he earned a bachelor’s degree in business administration. In addition, David has worked as an instructor for online videos such as Larson’s Texts, Learning Big Ideas, and Big Ideas Math.

### Using Subtraction To Divide Fractions

A complex number or complex fraction is a number that combines a whole number and a fraction. It is possible to divide complex numbers. However, to do this, they must first be converted to an improper fraction. Once you’ve converted complex numbers, you can divide like any other fraction.

This article was written by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and levels in a variety of subjects, as well as providing college admissions counseling and test prep for the SAT, ACT, ISEE, and more. After scoring a perfect 800 in math and 690 in English on the SAT, David was awarded a Dickinson scholarship to the University of Miami, where he earned a bachelor’s degree in business administration. In addition, David has worked as an instructor for online videos such as Larson’s Texts, Learning Big Ideas, and Big Ideas Math. This article has been viewed 496853 times.

#### Dividing Fractions Online Activity

The easiest way to divide mixed fractions is to first convert them to improper fractions. Begin by multiplying the whole number of each complex fraction by its denominator. For example, if a fraction is 6 ½, multiply it by 6 by 2 to get 12. Then add the product to the invoice. In this example, 12 + 1 = 13. This new numerator of the fraction and the improper fraction will be 2/13. Once 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 an improper fraction, this would be 2.13 ÷ 9.4. To do a division problem, find the reciprocal of the divisor by reversing the fraction. Then multiply the two fractions. So in our example, 2/13 ÷ 9/4 becomes 2/13 x 9/4. Now all you have to do is multiply the numerator and denominator of the fractions. 13 x 4 = 52 and 2 x 9 = 18, so 2/13 ÷ 9/4 = 18/52. Simplify your answer if you can by dividing the numerator and denominator of the fraction by the greatest common factor. 52 and 18 both have a factor of 2, so the fraction can be simplified to 9.26. Now convert the fraction into a complex number by dividing the numerator by the denominator. The quotient is the whole number, while the remainder is the new number. 26 ÷ 9 = 2, the remainder is 8. Therefore, 9/26 will be the second complex fraction and eight will be the ninth. Read this article to learn how to convert improper fractions to complex numbers. Welcome to this free step-by-step guide to dividing fractions. This guide teaches 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 are several examples of dividing fractions using the Keep-Change-Flip method, as well as an explanation of why this 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 learning how to divide fractions using the Keep-Change-Flip method, you need to know how to multiply fractions (which is even easier than division!).

## How To Multiply Fractions

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

The rule of multiplying fractions: when multiplying fractions together, the numbers and then the denominators 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.

## Dividing Fractions In 3 Easy Steps: Your Complete Guide — Mashup Math

Example (and we will use the Keep-Change-Flip method to solve any problem where fractions must be divided)

If we consider 1/2 ÷ 1/4 as a question: how many 1/4 are there in 1/2?

And if we visualize 1/4 and 1/2, we clearly see that there is 2 1/4 in 1/2, so the final answer is 2.

### How To Divide Fractions

Just like example 01, you can solve this problem with the “Keep change flip” method as follows:

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

Note that in this example we are dividing a fraction by a whole number. But actually converting a whole number into a fraction is very easy. All you have to do is rewrite the number as a fraction where the numerator and denominator are 1.

### Adding And Subtracting Fractions With Unlike Denominators — Process

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

To learn more about dividing fractions by fractions and dividing fractions by whole numbers, watch the video lesson below:

Looking for extra practice dividing fractions? Click on the links below to download free worksheets and answer keys: Here you will find many free printable worksheets that will help your child learn how to divide fractions into other fractions.

### Division Of Fractions With Patrick

Here you will find a selection of fraction worksheets that will help your child understand how to divide a fraction by another fraction or how to divide a fraction by a whole number.

The sheets are carefully arranged so that the easiest sheet is first and the heaviest sheet is last.