How Do You Divide Mixed Number Fractions

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This article was co-authored by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a personal tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, etc. After achieving a perfect 800 in math and a 690 in English on the SAT, David received a Dickinson Scholarship to the University of Miami, where he majored in business administration. Additionally, David has worked as an online video instructor for textbook publishing companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

How Do You Divide Mixed Number Fractions

How Do You Divide Mixed Number Fractions

There are 8 references mentioned in this article, which can be found at the bottom of the page.

Multiply And Divide Fractions.

Mixed numbers or mixed fractions are numbers that combine whole numbers and fractions. It is possible to divide mixed numbers; however, for this it is necessary to convert it to an improper fraction. Once the mixed number has been converted, you can divide like any other fraction.

How Do You Divide Mixed Number Fractions

This article was co-authored by David Jia. David Jia is an academic tutor and founder of LA Math Tutoring, a personal tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, etc. After achieving a perfect 800 in math and a 690 in English on the SAT, David received a Dickinson Scholarship to the University of Miami, where he majored in business administration. Additionally, David has worked as an online video instructor for textbook publishing companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. This article has been viewed 502,906 times.

The easiest way to divide a mixed fraction is to convert it to an improper fraction first. 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 product to the numerator. In this example, 12 + 1 = 13. This will be the new numerator of your fraction, giving you the improper fraction 13/2. Once you have converted all mixed fractions to improper fractions, you can divide them. Let’s say you need to solve the problem 6 ½ ÷ 2 ¼. Written as an improper fraction, it would be 13/2 ÷ 9/4. To solve a division problem, find the reciprocal of the divisor by reversing the fraction. Then multiply the two fractions. So in our example, 13/2 ÷ 9/4 becomes 13/2 x 4/9. Now you just need to multiply the numerator and denominator of the fraction. 13 x 4 = 52 and 2 x 9 = 18, so 13/2 ÷ 9/4 = 52/18. If possible, simplify your answer by dividing the numerator and denominator of the fraction by the greatest common factor. 52 and 18 divide by a factor of 2, so you can simplify the fraction to 26/9. Now convert the fraction back to a mixed number by dividing the numerator by the denominator. The quotient is a whole number, while the remainder is the new numerator. 26 ÷ 9 = 2 with a remainder of 8. So 26/9 becomes a mixed fraction of 2 and eight ninths. If you want to learn how to convert your improper fractions back to mixed numbers, read on! Welcome to this free step-by-step guide to dividing fractions. This tutorial 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, too).

How Do You Divide Mixed Number Fractions

Learn How To Multiply Fractions

Below you will find some 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 tutorial includes animated video lessons and free practice worksheets 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 easier than dividing!).

How Do You Divide Mixed Number Fractions

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

Dividing Fractions With Mixed Numbers Worksheet

Rules for Multiplying Fractions: Whenever you multiply fractions, multiply the numerator and then multiply the denominator as follows…

How Do You Divide Mixed Number Fractions

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.

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

How Do You Divide Mixed Number Fractions

Dividing Fractions (simple How To W/ 21 Examples!)

If we think about 1/2 ÷ 1/4 in the form of a question: How much 1/4 is there in 1/2?

And then if we visualize 1/4 and 1/2, we can clearly see that there are 2 1/4 in 1/2, which is why the final answer is 2.

How Do You Divide Mixed Number Fractions

Just like in example 01, you can solve this problem by using the rotate keep change method as follows:

Dividing Mixed Numbers

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

How Do You Divide Mixed Number Fractions

Note that in this example you are dividing the fraction by a whole number. But it’s actually very easy to convert whole numbers to fractions. 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.

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

How Do You Divide Mixed Number Fractions

Dividing Mixed Numbers (video)

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

Looking for some extra practice dividing fractions? Click the link below to download the free worksheet and answer key: All this means is that we reverse the fraction so that the numerator becomes the denominator and the denominator becomes the numerator.

How Do You Divide Mixed Number Fractions

We care because it helps us create an identity property. In other words, when a number is multiplied by its reciprocal, it will always equal one!

Mixed Numbers & Top Heavy Fractions (1.1.1)

During this lesson we will see that the reciprocal of a whole number will always be a unit fraction. The multiplicative inverse of a mixed number will always be a proper fraction.

How Do You Divide Mixed Number Fractions

Reciprocal values ​​are key to dividing fractions because the only operations we are allowed to do with fractions are:

Therefore, we must have a way to transform division into its inverse multiplication operation, and the way we do that is by reversing our fractions!

How Do You Divide Mixed Number Fractions

Ex 2.2, 6

Before we get into the steps, let’s take a visual look at how the diver faction works by looking at the area model.

And as we saw with multiplication, although the surface model describes the division process, it is not always practical to use.

How Do You Divide Mixed Number Fractions

We will now calculate our numerical expression by multiplying the first three-fifths fraction by the reciprocal of the second fraction.

Dividing Mixed Fractions Worksheet

We’ll also see that our rule for multiplying fractions is also useful, because after modifying our division problem as outlined on Prodigy’s blog, we want to subtract our fractions before multiplying. We use cookies to make us great. By using our site, you agree to our cookie policy. Cookie settings

How Do You Divide Mixed Number Fractions

Is a “wiki”, similar to Wikipedia, which means that many of our articles are written by multiple authors. To create this article, 16 people, some anonymous, worked to edit and improve it over time.

There are 7 references mentioned in this article, which can be found at the bottom of the page.

How Do You Divide Mixed Number Fractions

Mixed Numbers & Equations With Fractions

Sharing is the fastest way to do this, but there’s an easier method if you’re having trouble with the first one.

Is a “wiki”, similar to Wikipedia, which means that many of our articles are written by multiple authors. To create this article, 16 people, some anonymous, worked to edit and improve it over time. This article has been viewed 119,914 times.

How Do You Divide Mixed Number Fractions

To convert an improper fraction to a mixed number, simply divide the numerator by the denominator. For example, if your improper fraction is 15/4, you would divide 15 by 4 to get 3.75. Remember to write your answer in mixed number format, using the original denominator for the fraction. So in this case, your improper fraction is the mixed number 3¾. To learn how to convert improper fractions to mixed numbers without using division, scroll down! We have support and examples for dividing mixed numbers or mixed fractions on this page, including support sheets and free practice sheets.

Dividing Mixed Numbers And Top Heavy Fractions

Here you’ll find support on how to divide mixed fractions, as well as some practice worksheets designed to help your child master the skill.

How Do You Divide Mixed Number Fractions

Sheets are carefully graded

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