# How To Multiply And Divide Fractions With Whole Numbers

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This article was also written by David Jia. David Jia is a Math 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 grades in a variety of subjects, as well as college admissions counseling and SAT, ACT, ISEE exam preparation and more. After scoring a perfect 800 in Math and 690 in English on the SAT, David received a Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor of Business Administration. In addition, David has worked on online video tutorials for textbook companies such as Larson Texts, Big Ideas Learning and Big Ideas Math.

## How To Multiply And Divide Fractions With Whole Numbers

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#### Multiplying+dividing Fractions And Mixed Numbers

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

To divide a fraction by a whole number, start by writing the whole number by 1 so that it looks like a fraction. Then find the reciprocal of the whole number by changing the numerator to the denominator. Its repetition should appear as 1 for the whole number. When you “divide” fractions by whole numbers, you are multiplying the fraction by a multiple of the whole number. To do this, multiply the numerators and denominators of the two parts. Finally, minimize the effects as much as possible. If you want to know more, like how to soften your part after finishing, keep reading this article! fractions.

## Fractions: Where It All Goes Wrong

This complete guide to multiplying fractions and whole numbers includes several examples, a small animated lesson, and a free worksheet and answer key.

Before we delve into how to multiply fractions, let’s quickly review how to multiply fractions by fractions (understanding how to use the rule below will make multiplying fractions and whole numbers easier for you!)

Multiplying Fractions Rule: Whenever you multiply fractions, multiply the numerators and multiply the sums in this way…

## Multiplying And Dividing Fractions Using Google Forms

Note that the division (3/8) cannot be prime (since 8 and 3 have no divisors)

Now that you know the rule for multiplying a fraction by a fraction, you can use it to help you multiply a fraction by a whole number.

Now, since you are multiplying a fraction, you can use this rule and solve like this…

## Multiplying Fractions By Whole Numbers

Stay tuned! What if the answer was simple? Let’s tackle this problem in the next example…

Since the greatest common factor (GCF) of 45 is 10 and 5, you can simplify by dividing the numerator and denominator by 5 like this…

## Unit 3 Fractions Preview

Tags: Multiplying Fractions by Whole Number, Multiplying Fractions by Whole Number, Multiplying Fractions by Whole Number Learn, Multiplying Fractions by Whole Number Examples, Reducing Fractions We use cookies to make large. By using our website, you accept our cookie policy.Cookie Preferences

This article was written by Mario Bañuelos, PhD. Mario Bañuelos is an assistant professor of mathematics at California State University, Fresno. With over eight years of teaching experience, Mario has expertise in mathematics, optimization, genomics modeling, and data science. Mario holds a BA in Mathematics from California State University, Fresno, and a Ph.D. in Applied Mathematics from the University of California, Merced. Mario taught both middle school and high school.

#### Strategies For Dividing Fractions

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

To multiply fractions, simply multiply the numerators and denominators and simplify the result. To divide fractions, simply invert the numerator and denominator of one of the fractions, multiply the result by the other fraction and simplify. If you want to know how to divide and multiply fractions quickly, follow these steps.

## Multiplying And Dividing Fractions Worksheet

Q&A Expert Did you know you can get expert answers on this subject? Unlock expert solutions for support

This article was written by Mario Bañuelos, PhD. Mario Bañuelos is an assistant professor of mathematics at California State University, Fresno. With over eight years of teaching experience, Mario has expertise in mathematics, optimization, genomics modeling, and data science. Mario holds a BA in Mathematics from California State University, Fresno, and a Ph.D. in Applied Mathematics from the University of California, Merced. Mario taught both middle school and high school. This article has been viewed 504,978 times.

To multiply fractions, start by multiplying the digits or the highest number in each fraction. For example, if you want to multiply 1/12 × 3/4, first multiply 1 × 3 = 6. Then multiply the numbers, which would be 12 × 4 = 48, making our example 6/48. When you multiply the top and the bottom, the fraction is only found by finding the greatest common factor, or GCF. You can start with 2 if it is an even number. When you find the GCF, divide the numerator by the denominator to reduce the numerator. When you divide by 6, the sample size can be reduced to 1/8. To learn how to divide the portions, read on! On this site we have a variety of free printable worksheets to help your child learn to divide fractions and whole numbers or whole numbers.

#### Multiplying Fractions Using A Visual/number Line

We also have a calculator that will not only give you the answer, but also show you all the exercises along the way!

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

The papers are sorted so that the easiest papers come first and the hardest paper comes last.

### Year 6 Divide Fractions By Integers 1 Lesson

Before your child starts dividing fractions, they need to be confident in multiplying fractions and changing mixed fractions to improper fractions and reducing simple fractions.

The calculator will help you divide fractions and whole numbers or fractions and fractions or mixed numbers.

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

#### Dividing Fractions By Whole Numbers

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

Change the numerator and denominator of the fraction (the fraction after the ÷ symbol) and change the operator to ‘x’ instead of ‘÷’

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

## Multiplying And Dividing Fractions

You may want to convert a fraction to its simplest form or convert it to a mixed fraction (if it is an invalid fraction).

Use these worksheets to practice dividing whole numbers by fractions and dividing fractions by whole numbers.

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

### Multiplying Fractions By Whole Numbers (year 5)

Here you will find a selection of worksheets designed to help your child understand how to transform a fraction into its simplest form.

At the end of the quiz you will have the opportunity to see your score by clicking on ‘View Score’.

This will take you to a new page where your results will be displayed. You can print your results from this page as a pdf