A mixed number is a whole number and a fraction combined into one "mixed" number. For example: one and a half is a mixed number.

Compose and decompose mixed numbers

Maths

In this unit pupils will compose and decompose quantities made of whole numbers and fractional parts. In the future unit pupils will will estimate the position of numbers on a number line using fraction sense. They will compare and order mixed numbers using fraction sense when the whole number and the numerator of the fractional part is the same.

In the prior unit pupils identified equal parts when they did not look the same related to equivalence. They constructed a whole when given a part and the number of parts. In this unit pupils will compose and decompose quantities made of whole numbers and fractional parts.

Composition of fractions greater than one

Select the correct sum. 8 + $$ {3} \over {12}$$ = ?

$$12{{3} \over {4}}$$ −  $$ {3} \over {4}$$ = ?

Jacob has been given a three and a two-tenths metres length of wool. He cuts a piece of wool that is three metres and gives it to Sophia. How much wool does he have left?

Sofia has been given a container with nine and and three-quarters of water in it. After she has spilled it, there is three-quarters of a litre of water left. How much did she spill?

Look at this mixed number $$7{{2} \over {10}}$$ We say it as {{ }} and two one-tenths.

Look at this mixed number $$3{{4} \over {5}}$$ We say it as ‘three and four-{{ }}.

Look at the part-part-whole model. What is the missing part?

Jacob runs 160 metres and Sofia runs 140 metres. What is the total distance that they have run? {{ }} m

Look at the part-part-whole model. $$8{{2} \over {10}}$$ is composed of 8 and two-{{ }}.

Which addition expression represents the composition of the mixed number, $$3{{2} \over {6}}$$?

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

Compose and decompose mixed numbers

Lesson outcome

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