Solve problems involving mixed numbers | Maths | Quizalize & Oak National Academy

Starter quiz

Look at this mixed number $2{{3} \over {9}}$ We say it as ______ and three one-ninths.

'two' ✓
Look at this mixed number $5{{1} \over {6}}$ We say it as ‘five and one-______.

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

'250' ✓
$Look at the part-part-whole model. <Math>6{{2} \over {3}}</Math> is composed of 6 and two-<span class="blank">______</span>.$

Look at the part-part-whole model. $6{{2} \over {3}}$ is composed of 6 and two-______.

'thirds' ✓
Select the correct sum. 7 + ${2} \over {5}$ = ?

$2{{7} \over {5}}$

$2{{5} \over {7}}$

$7{{5} \over {2}}$

$7{{2} \over {5}}$ ✓

$5{{2} \over {7}}$
$18{{3} \over {9}}$ − ${3} \over {9}$ = ?

3

9

18 ✓

${3} \over {9}$

Which model below represents this problem? Jacob listens to music for two hours on Monday and for half an hour on Tuesday. How long does he listen to music for in total?
Which model below represents this situation? Jacob bakes a cake. The mass of the cake is one and a quarter kg. He gives some cake to his friends then measures the mass left to be one kg.

A

B ✓

C

D
Look at the part-part-whole model, which equations can be formed from it?

6 - ${1} \over {4}$ = ?

6 + ${1} \over {4}$ = ? ✓

${1} \over {4}$ + 6 = ? ✓

${1} \over {4}$ - 6 = ?
Look at the part-part-whole model, which equations can be formed from it?

? = 11 + $11{{1} \over {8}}$

11 + $11{{1} \over {8}}$ = ?

$11{{1} \over {8}}$ + 11 = ?

$11{{1} \over {8}}$ - ? = 11 ✓

$11{{1} \over {8}}$ - 11 = ? ✓
Jacob has two and five-tenths of a metre length of ribbon. He uses two metres of it. How much ribbon does he have left over?

One metre

Two metres

${5} \over {10}$ of a metre ✓

${10} \over {5}$ of a metre

Ten metres
Sofia has a kitten that has a mass of one kilogram. When she next measures its mass, it is eight-tenths of a kilogram heavier. What is its mass now in kilograms?

8 kg

10 kg

$1{{8} \over {10}}$ kg ✓

$1{{10} \over {8}}$ kg

$8{{1} \over {10}}$ kg

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Word problems can involve mixed numbers. Mixed numbers may be used as part of the question or may form the answer.
Mixed numbers can be used to represent measures.
Representing problems as part-part-whole model can support us to form equations that we can then solve.

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.