Maths Home Learning 20th May 2020

Unit and non-unit fractions

Did you know that there are different types of fractions?

The two types that we are looking at are called unit fractions and non-unit fractions. Both unit and non-unit fractions show us how much of the whole we are talking about.

Teacher fractions

unit fraction is a fraction where the numerator (the number on the top of the fraction) is 1. The denominator (on the bottom) can be any other whole number. A good way to remember it is by remembering that unit means 1!

Here are some examples of unit fractions: ½¼ and ¹⁄₁₀

Can you think of any other unit fractions?

non-unit fraction is a fraction where the numerator is greater than 1. The denominator can be any whole number.

Here are some examples of non-unit fractions: ⁷⁄₁₂ and ¾

Can you think of any other non-unit fractions?

Example 1

Emma and Sophie shared a pizza that was cut into 6 pieces. Sophie ate  of the pizza and Emma ate  of the pizza.

Which of these two fractions is the non-unit fraction?

Look carefully at the numerators. If it’s a non-unit fraction, we’re looking for a number that isn’t 1, so  is the non-unit fraction. That means  is a unit fraction.

Pizza cut into sixths

Example 2

Take a look at this rectangle that has been split into 10. Some of the squares are different colours.

  • ¹⁄₁₀ squares is yellow.
  • ⁴⁄₁₀ squares are blue.
  • ⁵⁄₁₀ squares are red.

Which colour represents a unit fraction?

Let’s look at the numerators. Remember, unit means 1 so look for the fraction that has 1 as the numerator.

Yellow represents the unit fraction since it is ¹⁄₁₀ of the rectangle.

Visit the BBC Bitesize website to see the activities.

Challenge