When two or more fractions share the same denominator, you can say they have a common denominator.

Explain how to add related unit fractions with a representation or image

Maths

Explain how to write a fraction in its simplest form

Reason about how to write a fraction in its simplest form

Use knowledge of fractions in their simplest form when solving addition and subtraction problems

Explain how to add related unit fractions without a representation or image

Explain how to subtract related unit fractions

Use knowledge of adding and subtracting related unit fractions to solve problems

Explain with and without an image how to add and subtract related non-unit fractions

Explain with and without images how to add and subtract related non-unit fractions bridging a whole

Add and subtract non-related fractions with different denominators

In this unit pupils will explain how to write a fraction in its simplest form when solving addition and subtraction problems and how to add and subtract related fractions. In the future unit pupils will use their fraction sense to fraction addition, subtraction and comparison explaining how to compare pairs of non-related fractions by converting to common denominators and using fraction sense.

In the prior unit pupils used representations to describe and compare two fractions. They explained the relationship within families of equivalent fractions and used their knowledge of common equivalents to compare fractions with decimals. In this unit pupils will explain how to write a fraction in its simplest form when solving addition and subtraction problems. 

In this unit pupils will explain how to write a fraction in its simplest form when solving addition and subtraction problems.

Addition and subtraction of fractions

What fraction of the whole shape is shaded?

One-third of a garden patio is covered by a garden bench. Two twelfths of the garden patio is covered by a table. How much of the garden patio is covered?

$$ {4} \over {8}$$ + $$ {1} \over {8}$$ = $$ {5} \over {8}$$

$$ {4} \over {8}$$ + $$ {1} \over {8}$$ = $$ {5} \over {16}$$

$$ {1} \over {8}$$ + $$ {4} \over {8}$$ = $$ {5} \over {8}$$

$$ {1} \over {8}$$ + $$ {4} \over {8}$$ = $$ {5} \over {16}$$

Tick the equations that represent the image.

$$ {6} \over {12}$$ − $$ {3} \over {12}$$ = $$ {3} \over {12}$$

$$ {6} \over {12}$$ − $$ {3} \over {12}$$ = 3

6 − $$ {3} \over {12}$$ = $$ {3} \over {12}$$

$$ {6} \over {12}$$ − 3  = $$ {3} \over {12}$$

Tick the equation that represents the image (the cross indicates it has been subtracted).

Tick the fraction that is the simplest form of $$ {12} \over {14}$$

Tick the options that could represent the sum:    $$ {5} \over {12}$$  + $$ {3} \over {12}$$ 

Tick the options that could represent the difference:    $$ {10} \over {15}$$  − $$ {5} \over {15}$$

Starter Quiz

Tick the equations that represent the image.