Fractions of numbers

"Math Salamanders Free Math Sheets"

Welcome to the Math Salamanders support page about How to
Calculate Fractions of Numbers.

Here you will find information and support about how to
find fractions of different numbers.

How to Print or Save these sheets

- Follow the 3 easy steps below to get your worksheets printed out perfectly!

Step 1

Click it.

Step 2

Magnify it

(if needed).

Step 3

Print it!

Need further help? Use our How to Print Support Page

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

Fractions is an area that a lot of kids find hard to understand. One of the problems with fractions is that they have different meanings depending on the context.

For example, you can eat half an apple or cut an orange into fourths. But you can also put the number one-half on a number line, measure a line 3 1/2 cm long, or find a fourth of 24.

Once the concept of fractions as numbers and fractions as parts of a whole has been understood, your child will be well on their way to developing a sound understanding of fractions.

How to Calculate Fractions of Numbers Support Page

Here you will find some simple information and advice about how to calculate fractions of numbers.

At the bottom of this page you will also find two printable resource sheets which explain about how to calculate fractions in a little more detail.

Before you start learning to calculate fractions of numbers, you should be able to work out fractions of shapes.

How to find a fraction of a number

Here are the two easy steps for finding the fraction of a number:

Step 1 - Find the unit fraction of the number by dividing the number by the denominator

Step 2 - Multiply by the numerator.

You should have now found your fraction of a number!

Examples

**
Example 1) Find
5
6
of 24
**

Step 1)

A unit fraction is a fraction where the numerator is equal to 1.

To find the unit fraction of a number, you need to divide the number by the denominator.

This gives us 1 6 of 24 = 24 ÷ 6 = 4

Step 2)

We need to multiply our answer by the numerator which is 5.

**
So
5
6
of 24 = (
1
6
of 24 ) x 5 =
4 x 5 = 20
**

**
Example 2) Find
3
7
of 35
**

Step 1)

The denominator of the first fraction is 7.

This gives us 1 7 of 35 = 35 ÷ 7 = 5

Step 2)

We need to multiply our answer by the numerator which is 3.

**
So
3
7
of 35 = (
1
7
of 35 ) x 3 =
5 x 3 = 15
**

How to calculate fractions - the algebra...

For those of you who like to see things in Algebra...this is what it looks like

**
If we want to work out
a
b
of a number n
**

First we divide n by the denominator b (n ÷ b).

This tells us the value of 1 b of n

Next we need to multiply this by the numerator a.

This gives us:

**
a
b
of n = (n ÷ b) x a
OR
(n x a) ÷ b
OR
n x a
b
**

How do you find fractions printable sheets

This printable support sheet below gives a little more detail about finding fractions of numbers including a step-by-step visual guide to how and why it works.

Fraction of a number worksheets

How to find unit fractions of a number (3rd Grade)

Here you will find a selection of Fraction worksheets designed to help your child understand how to work out unit fractions of different numbers where the numerator is 1.

Using these sheets will help your child to:

- develop an understanding of fractions as parts of a whole;
- know how to calculate unit fractions of a range of numbers.

All the free Fraction Shape worksheets in this section support the Elementary Math Benchmarks for 3rd Grade.

Learning Fractions

Are you looking for free fraction help or fraction support?

Here you will find a range of fraction help on a variety of fraction topics, from simplest form to converting fractions.

There are fraction videos, worked examples and practice fraction worksheets.

Return to Free Math Help Online

Return from How to Find Fractions of Numbers Support to Math Salamanders Homepage

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

Search here!

Take a look in our brand new shop where you can find a range of our latest e-books to purchase.

- Online Times Table Practice
- Online + and - Practice
- Times Table Worksheets
- Geometry Sheets
- Fraction Sheets
- Money Sheets
- Math Games
- Fun Math Puzzles & Activities
- Math Help Pages

Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

- List of Geometric Shapes
- Equivalent Fractions
- Printable Shapes
- 3d Geometric Shapes
- Perimeter Worksheets

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.

Get a free sample copy of our Math Salamanders Dice Games book with each donation!

Looking for some cool math certificates to hand out?

A certificate is a great way to praise achievement in math learning.

Check out our printable math certificate collection!

ABCmouse is a subscription based online education program designed for children aged from 2 to 8.

Fun learning activities based around Reading, Math, Science and Art.

Winner of several curriculum awards, including Mom's Choice Awards (Gold) and Parents Choice Gold Award.

Try it free for 30 days!

Looking for a new direction in your life in 2017?

Want an extra income you can earn from home with proven results?

Got a hobby you want to share?

Expand your horizons with SBI!

I used this to develop this site in 2010, and have never looked back!

Click here for my story!

## New! Comments

Have your say about the Math resources on this page! Leave me a comment in the box below.