Compose and decompose mixed numbers | Maths | Quizalize & Oak National Academy

Starter quiz

Look at this mixed number $7{{2} \over {10}}$ We say it as ______ and two one-tenths.
- 'seven' ✓
Look at this mixed number $3{{4} \over {5}}$ We say it as ‘three and four-______.
- 'fifths' ✓
Look at the part-part-whole model. What is the missing part?
- '200' ✓
Jacob runs 160 metres and Sofia runs 140 metres. What is the total distance that they have run? ______ m
- '300' ✓
$Look at the part-part-whole model. <Math>8{{2} \over {10}}</Math> is composed of 8 and two-<span class="blank">______</span>.$

Look at the part-part-whole model. $8{{2} \over {10}}$ is composed of 8 and two-______.
- 'tenths' ✓
Which addition expression represents the composition of the mixed number, $3{{2} \over {6}}$ ?
- 2 + ${3} \over {6}$
- 2 + ${6} \over {3}$
- 3 + ${2} \over {6}$ ✓
- 3 + ${6} \over {2}$
- 6 + ${2} \over {3}$

Select the correct sum. 8 + ${3} \over {12}$ = ?
- $3{{8} \over {12}}$
- $3{{12} \over {8}}$
- $8{{12} \over {3}}$
- $8{{3} \over {12}}$ ✓
- $1{{3} \over {8}}$
$5{{4} \over {6}}$ − 5 = ?
- ${5} \over {6}$
- ${4} \over {6}$ ✓
- ${6} \over {4}$
- ${6} \over {5}$
5 + ${4} \over {9}$ + 12 = ?
- $5{{4} \over {17}}$
- $12{{5} \over {9}}$
- $17{{4} \over {9}}$ ✓
- $17{{9} \over {4}}$
$12{{3} \over {4}}$ − ${3} \over {4}$ = ?
- 3
- 4
- 12 ✓
- ${3} \over {4}$
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 Sofia. How much wool does he have left?
- 2 metres
- 3 metres
- 10 metres
- ${2} \over {10}$ metre ✓
- ${10} \over {2}$ metre
Sofia has been given a container with nine and three-quarters of water in it. After she has spilt it, there is three-quarters of a litre of water left. How much did she spill?
- ${3} \over {9}$ litres
- ${3} \over {4}$ litres
- 3 litres
- 9 litres ✓

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Mixed numbers are quantities that are made up of a whole number part and a fractional part.
Addition and subtraction calculations represent how mixed numbers can be composed or decomposed.
Knowing how mixed numbers are composed, supports us to solve addition and subtraction calculations.

Children may be confused about how to write mixed numbers. Children may say 'five and one-eight, rather than five and one-eighth.

As a school, establish how mixed numbers will be recorded so that you have consistency. Ensure children are accurately expressing the fraction part.

Mixed number - 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.