To represent something means to show something in a different way.

Explain how to divide a unit fraction by a whole number

Maths

In this unit pupils will learn how to multiply 2 unit fractions and 2 non-unit fractions. They will learn how to divide a unit fraction and a non-unit fraction by a whole number. In the future unit pupils will explain what percent means and how to represent a percentage in different ways. They will learn how to convert percentages to decimals and fractions and solve conversion problems.

 In the prior unit pupils used fraction sense to fraction addition, subtraction and comparison, explaining how to compare pairs of non-related fractions by converting to common denominators or using fraction sense. In this unit pupils will learn how to multiply 2 unit fractions and 2 non-unit fractions. They will learn how to divide a unit fraction and a non-unit fraction by a whole number. 

Multiplication and division of fractions

$$ {1} \over {5}$$ ÷ 2 = $$ {1} \over {10}$$

$$ {1} \over {2}$$ ÷ 2 = $$ {1} \over {10}$$

$$ {1} \over {10}$$ ÷ 2 = $$ {1} \over {5}$$

$$ {1} \over {10}$$ ÷ 5 = $$ {1} \over {2}$$

Tick the equivalent division equation for $$ {1} \over {5}$$ × $$ {1} \over {2}$$ = $$ {1} \over {10}$$

Use this equation to find the missing denominator: $$ {1} \over {2}$$ ÷ 6 = $$ {1} \over {12}$$

Tick the equivalent multiplication expression for $$ {1} \over {8}$$ ÷ 4 = 

Tick the correct answer to the calculation:  $$ {1} \over {2}$$ ÷ 7 =

Write down the missing denominator to make this equation correct.

Tick the possible pairs of numbers that would make this equation correct: 

Which expressions could represent one-third of one-fifth?

$$ {1} \over {3}$$ × $$ {1} \over {5}$$ = $$ {1} \over {5}$$

$$ {1} \over {15}$$ × $$ {1} \over {3}$$ = $$ {1} \over {5}$$

$$ {1} \over {5}$$ × $$ {1} \over {3}$$ = $$ {1} \over {15}$$

$$ {1} \over {3}$$ x $$ {1} \over {5}$$ = $$ {1} \over {15}$$

Tick the equations that could represent this image.

multiply the numerators and the denominators

To find the product of two unit fractions, you can _________.

Tick the product of $$ {1} \over {8}$$ × $$ {1} \over {2}$$

What is the missing denominator which would make this equation correct?

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

Explain how to divide a unit fraction by a whole number

Lesson outcome

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