Unit Fraction of Numbers

Welcome to our Unit Fraction of Numbers Worksheets.

Here you will find our support page to help you work out unit fractions of different numbers.

We have a range of worksheets and some worked examples to help you with this skill.

Unit Fraction of Numbers

What is a Unit Fraction?

A Unit fraction is a fraction that has a numerator of 1.

Examples:

\[ {1 \over 5}, {1 \over 7}, {1 \over 8} \; and \; {1 \over 9} are all unit fractions.

\[ {3 \over 5}, {9 \over 7}, {6 \over 8} \; and \; {2 \over 9} \] are NOT unit fractions.

How to Find Unit fractions of a number

To find a Unit Fraction of a number follow this simple step:

  • Divide the number by the denominator of the unit fraction.

You should have now found your unit fraction of a number!

PLEASE NOTE:

Finding a fraction of a whole number is the same as multiplying the fraction by the whole number.

In other words:

\[ {1 \over 5} \; of \; 30 \; is \; the \; same \; as \; {1 \over 5} \times 30 \]

Examples of Finding Unit Fractions of a Number

Example 1) \[ Find \; {1 \over 6} \; of \; 24 \]

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

This gives us: \[ {1 \over 6} \; of \; 24 \; = \; 24 ÷ 6 \; = \; 4 \]


Example 2) \[ Find \; {1 \over 7} \; of \; 35\]

To find the unit fraction, we need to divide the number by the denominator.

This gives us: \[ {1 \over 7} \; of \; 35 \; = \; 35 ÷ 7 \; = \; 5 \]


Example 3) \[ Find \; {1 \over 10} \; of \; $230\]

To find the unit fraction, we need to divide the number by the denominator.

This gives us: \[ {1 \over 10} \; of \; $230 = $230 ÷ 10 = $23 \]

How to Find Unit fractions of a number Support Page

This printable information sheet will help you understand how to find unit fractions of a number.

Unit Fraction of Numbers Worksheets

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

The sheets are graded so that the easier ones are at the top.

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.

Fraction of a whole number problems

These problems all involve finding the fraction of a whole number.

There are 3 versions of each sheet:

  • Sheets 1a and 2a are the easiest. They mainly involve finding simple unit fractions of small numbers.
  • Sheets 1b and 2b are a little harder. They involve finding (mainly unit) fractions of larger numbers.
  • Sheets 1c and 2c are hardest. They involve finding non-unit fractions of larger numbers.

Sheet 1 - Fraction of a number problems

Sheet 2 - Fraction of a number problems

Looking for some easier fraction sheets

Before you learn about finding fractions of numbers, you should be confident with fractions as parts of a whole.

Here you will find a selection of Fraction Shape and Finding Fractions worksheets designed to help your child understand fractions of shapes as parts of a whole.

Using these sheets will help your child to:

  • develop an understanding of fractions as parts of a whole;
  • work out the fractions of shapes and familiar quantities.

Looking for some more fractions of whole numbers worksheets

We also have a page of more challenging fraction of whole numbers where the numerator of the fraction is more than 1.

There is also a randomly generated Fraction of whole numbers page where you can create your own fraction of a number worksheets to meet your needs.

Using these sheets will help your child to:

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

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Halves and Quarters to 100

In this section you will find our fraction sheets about working out halves and quarters of a range of numbers up to 100.

The sheets are graded with the easiest sheets providing a supportive framework which the children can use to aid their learning.

Fraction of Number Practice Zone

Take a look at our NEW Online Fraction Practice Zone for finding fractions of numbers.

You can choose from a range of levels of difficulty from unit fractions with smaller numbers to mixed fractions with larger numbers.

You can print out your results or benchmark your scores against future achievements.

Great for using with a group of children as well as individually.

Learning Fractions Math Help Page

Here you will find the Math Salamanders free online Math help pages about Fractions.

There is a wide range of help pages including help with:

  • fraction definitions;
  • equivalent fractions;
  • converting improper fractions;
  • how to add and subtract fractions;
  • how to convert fractions to decimals and percentages;
  • how to simplify fractions.

Math Fraction Games

Here is our collection of Math games involving fractions.

These games are suitable for kids aged from 3rd grade and upwards.

Playing games is a great way to learn fraction skills in a fun way.

Fraction equivalence, fraction to decimal conversion and properties of fractions are all explored in our fun games to play.

 

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