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.

Subtract fractions with the same denominator

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

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

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

$$ \frac{7}{7} $$ − $$ \frac{3}{7} $$ = $$ \frac{4}{0} $$ 

$$ \frac{7}{7} $$ − $$ \frac{3}{7} $$ = $$ \frac{4}{14} $$

$$ \frac{7}{7} $$ − $$ \frac{3}{7} $$ = $$ \frac{4}{7} $$

$$ \frac{7}{7} $$ − $$ \frac{3}{7} $$ = 4

What fraction subtraction equation is being represented by the bar model?

Aisha and Alex share a pizza cut into 8 slices. Alex eats sixth-eighths of the pizza.
How much does Aisha eat? Aisha eats ___ of the pizza.

$$ \frac{10}{12} $$ − $$ \frac{4}{12} $$ = $$ \frac{14}{12} $$

$$ \frac{10}{12} $$ − $$ \frac{4}{12} $$ = $$ \frac{6}{12} $$

$$ \frac{10}{12} $$ − $$ \frac{4}{12} $$ = $$ \frac{6}{0} $$

$$ \frac{10}{12} $$ − $$ \frac{4}{12} $$ = $$ \frac{6}{24} $$

A full box of eggs contains 12 eggs. First there were 10 eggs in the box, then 4 were used to make pancakes. Which equation matches this problem?

A full box of eggs contains 12 eggs. First there were 8 eggs in the box, then 7 were used to make pancakes and cakes. Which fraction represents the number of eggs left?

$$ \frac{11}{12} $$ − $$ \frac{7}{12} $$ = ___

$$ \frac{9}{10} $$ − $$ \frac{1}{10} $$ − $$ \frac{5}{10} $$ = ___

A number subtracted from another number. 

The result after subtracting one number from another. 

Which of these definitions describes the minuend?

Which number is the subtrahend in the following equation?
12 − 5 = 7

What subtraction is being shown by this number line?

Each marble in a bag is $$ \frac{1}{12} $$ of the whole bag. How many marbles are there in the bag?

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

Select the correct sum. $$ \frac{3}{9} $$ + $$ \frac{4}{9} $$ = ___

Subtract fractions with the same denominator

Lesson outcome