The minuend is the number being subtracted from.

A subtrahend is a number subtracted from another. There can be more than one.

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

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

Add and subtract fractions with the same denominator in a range of contexts

Maths

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

Use repeated addition of a unit fraction to form 1

Add fractions with the same denominator

Add on fractions with the same denominator

Add fractions with the same denominator and generalise the rule

Subtract fractions with the same denominator

Explain that addition and subtraction of fractions are inverse operations

Subtract fractions from a whole by converting the whole to a fraction

Substitute a fraction representing a whole to solve subtraction problems

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.

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

add the numerators and add the denominators.

the denominator stays the same and the numerators are used for the calculations.

Choose the correct ending for this sentence.
When adding or subtracting fractions with the same denominator, __________

$$ \frac{4}{10} $$ + $$ \frac{5}{10} $$ − $$ \frac{3}{10} $$ = ___

Laura had a water bottle that was $$ \frac{9}{10} $$full. She drank $$ \frac{4}{10} $$ of the bottle and then topped it up by $$ \frac{2}{10} $$ What will the denominator of your answer be?

Laura had a water bottle that was $$ \frac{9}{10} $$ full. She drank $$ \frac{4}{10} $$ of the bottle and then topped the bottle up by $$ \frac{2}{10} $$ How much water is left in the bottle?

Sam is making juice.
First, she adds in $$ \frac{10}{15} $$ of apple juice.
Then, she adds in $$ \frac{3}{15} $$ of orange juice and pours out $$ \frac{9}{15} $$ of the mix. 
What fraction is left?

$$ \frac{9}{12} $$ − $$ \frac{3}{12} $$

$$ \frac{8}{12} $$ − $$ \frac{4}{12} $$

Which expressions have a total greater than $$ \frac{5}{12} $$?

The result after subtracting one number from another.

Which of these definitions describes the subtrahend?

Which number is the minuend in the following equation?
14 − 6 = 8

What addition is being shown by this number line?

Each marble in a bag is $$ \frac{1}{10} $$ of the whole bag. How many marbles are there in the bag?

The bar model shows four equal parts of the whole. What fraction can be used to label this?

Select the correct sum. $$ \frac{2}{12} $$ + $$ \frac{7}{12} $$ = ___

Starter Quiz

Which of these definitions describes the subtrahend?