A unit fraction is a fraction where the numerator is 1

A non-unit fraction is a fraction where the numerator is greater than 1

A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.

A numerator is the top number in a fraction. It shows how many parts we have.

Use repeated addition of a unit fraction to form a non-unit fraction

Maths

In this unit pupils will use repeated addition of a unit fraction to form a non-unit fraction. They will compare non-unit fractions with the same denominator. They will add and subtract fractions with the same denominator. In the future unit pupils will identify equal parts when they do not look the same related to equivalence. They will construct a whole when given a part and the number of parts.

In the prior unit pupils explained that non-unit fractions are composed of more than one unit fraction using knowledge of unit fractions to find one whole. In this unit pupils will use repeated addition of a unit fraction to form a non-unit fraction. They will compare non-unit fractions with the same denominator. They will add and subtract fractions with the same denominator.

Composition of non-unit fractions: addition and subtraction

Look at the picture. What non-unit fraction is being represented by the green triangles here? 

 $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$ = $$ \frac{2}{5} $$  

$$ \frac{1}{6} $$ + $$ \frac{1}{6} $$ = $$ \frac{2}{6} $$ 

$$ \frac{1}{5} $$ + $$ \frac{1}{4} $$ = $$ \frac{2}{3} $$ 

$$ \frac{2}{5} $$ = $$ \frac{1}{5} $$ + $$ \frac{1}{5} $$ 

Which repeated addition equations represent the non-unit fraction shown here?

 $$ \frac{2}{3} $$ + $$ \frac{2}{3} $$ = $$ \frac{1}{3} $$  

$$ \frac{1}{3} $$ + $$ \frac{2}{3} $$ = $$ \frac{2}{3} $$ 

$$ \frac{3}{1} $$ + $$ \frac{3}{1} $$ = $$ \frac{2}{3} $$

$$ \frac{1}{3} $$ + $$ \frac{1}{3} $$ = $$ \frac{2}{3} $$ 

Which repeated addition equation represents the fraction of pandas wearing hats here?

The numerator and the denominator are equal.

Which of these definitions describes a unit fraction?

Which of these definitions describes a non-unit fraction?

What non-unit fraction is represented here?

This lesson will be removed by end of Summer Term 2025.

Use repeated addition of a unit fraction to form a non-unit fraction

Lesson outcome

This lesson will be removed by end of Summer Term 2025.