**How To Divide Fractions By Whole Numbers** – Welcome to this free tutorial where you’ll learn the easy two-step process of multiplying fractions by whole numbers AND multiplying whole numbers by fractions.

This complete guide to multiplying fractions by whole numbers includes several examples, an animated mini-lesson video, and a free worksheet and answer key.

## How To Divide Fractions By Whole Numbers

Before we learn how to multiply fractions, let’s do a very 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!)

## Dividing Proper Fractions By Whole Numbers Worksheets

Rule for Multiplying Fractions: Whenever you multiply fractions, multiply the numerators and then multiply the denominators as follows…

Note that the fraction (3/8) cannot be simplified (because 8 and 3 have no common divisor)

Now that you are familiar with the rule for multiplying a fraction by a fraction, you can use it to easily multiply a fraction by a whole number.

Now, since you are multiplying a fraction by a fraction, you can apply the rule and solve as follows…

### Lesson Video For ‘divide Whole Numbers By Unit Fractions Using A Model’

Wait! What if the answer could be simplified? Let’s consider the situation in the following example…

Since the greatest common factor (GDF) of 45 and 10 is 5, you can simplify by dividing both the numerator and denominator by 5 as follows…

Check out the video tutorial below to learn more about multiplying fractions and get more free practice problems:

Need some extra practice multiplying fractions with whole numbers? Click on the links below to download free worksheets and answer key:

### Multiplying Fractions By Whole Numbers

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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 private tutoring company 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 advising on college admissions and test preparation for -SAT, ACT, ISEE, and more. Scoring a perfect 800 in math and 690 in English on the SAT, David received a Dickinson scholarship to the University of Miami, where he graduated with a bachelor’s 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.

Dividing fractions by a whole number is not as difficult as it seems. To divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction. If you want to know how to do it, follow these steps:

This article was co-authored 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 grades in a variety of subjects, as well as advising on college admissions and test preparation for -SAT, ACT, ISEE, and more. Scoring a perfect 800 in math and 690 in English on the SAT, David received a Dickinson scholarship to the University of Miami, where he graduated with a bachelor’s 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. This article has been viewed 838,231 times.

### Th Grade Divide Fractions Task Cards

To divide a fraction by a whole number, start by writing the whole number over 1 so it looks like a fraction. Then find the reciprocal of the whole number by interchanging the numerator and denominator. Your reciprocal should look like 1 over a whole number. When you “divide” fractions by whole numbers, you are actually multiplying the fraction by the reciprocal of the whole number. To do this, multiply the numerators and the denominator of the two fractions. Finally, simplify the output as much as possible. If you want to learn more, like how to simplify your fraction when you’re done, read on! On this page we have a number of free printable worksheets to help your child learn how to divide fractions with whole numbers or whole numbers. .

We also have a calculator that not only gives you the answer, but shows you all the developments along the way!

On this page, you’ll learn how to divide a fraction by a whole number and learn some practice worksheets to help your child master this skill.

The sheets are carefully graded so that the simplest sheets go first and the most complex last.

#### How To Divide Fractions

Before your child can start dividing fractions, they should be confident in multiplying fractions, converting mixed fractions to improper fractions, and reducing fractions to their simplest form.

The calculator helps you divide fractions into whole numbers, fractions into other fractions, or mixed numbers.

The best thing about the calculator is that it also shows you all the development along the way.

If any of the fractions are mixed fractions (or mixed numbers), convert them to improper fractions first.

### Multiplying Fractions And Whole Numbers (video)

Change the numerator and denominator of the dividend fraction (the fraction after the ÷ sign) and change the operator with “x” instead of “÷”.

Multiply the numerators and denominators of the fractions together. This will give you the answer.

You can convert a fraction to its simplest form or convert it back to a mixed fraction (if it is an improper fraction).

Use these worksheets to practice dividing whole numbers by fractions as well as dividing fractions by whole numbers.

#### Division With Unit Fractions & Whole Numbers

Here you will find a selection of fractions worksheets to help your child understand how to convert an improper fraction to a mixed number.

Here you will find a selection of fractions worksheets to help your child understand how to convert a fraction to its simplest form.

At the end of the quiz, you will be able to see your results by clicking “View Result”.

This will take you to a new web page where your results will be displayed. You can print a copy of your results from this page in PDF format or as a hard copy.

#### Dividing Whole Number By Fractions Worksheets

For incorrect answers, we have added some useful study points to explain which answer was correct and why.

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#### Dividing Fractions Using Repeated Subtraction

Math Salamanders hope you enjoy these free printable math worksheets and our other math games and resources.

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We’ve updated and improved our fraction calculators to show you how to solve fraction problems step by step!

### Dividing Fractions, Division Of Whole Numbers, Decimal Operation, Gcf, Lcm

Take a look at some of our most popular pages to see different maths activities and ideas you can use with your child

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs. 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 Hold-Change-Convert to easily divide fractions by fractions (as well as fractions with whole numbers).

Below are some examples of how to divide fractions using the Keep-Change-Flip method, along with an explanation of why this method works for any math problem that involves dividing fractions . Plus, this free tutorial 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!).

## Ways To Divide A Whole Number By A Fraction

Since multiplying fractions is usually taught before dividing fractions, you may already know how to multiply two fractions. If so, you can skip to the next section.

Rule for Multiplying Fractions: Whenever you multiply fractions, multiply the numerators and then multiply the denominators as follows…

Now that you know how to multiply fractions, you’re ready to learn how to divide fractions using a simple 3-step method to save, change and flip.

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

#### Dividing Fractions By Whole Numbers

When we think of 1/2 ÷