Explain how a mixed number is composed | Maths | Quizalize & Oak National Academy

Starter quiz

Look at the part-part-whole model. 100 is made of 75 and ______

'25' ✓
Mixed numbers always have a value that is __________ than one.

smaller

thinner

wider

greater ✓

less
Look at this mixed number $5{{3} \over {12}}$ We say it as ______ and three one-twelfths.

'five' ✓
Look at this mixed number $7{{3} \over {8}}$ We say it as ‘seven and three-______.

'eighths' ✓
Look at this table then complete the sentence: Three and a ______ hours were spent swimming in total.

'quarter' ✓
Jacob has a three metre length of rope. Sophia has one-half a metre length of rope. How many metres of rope do they have altogether?

$3{{2} \over {1}}$

$3{{1} \over {2}}$ ✓

$2{{1} \over {3}}$

$2{{3} \over {1}}$

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

${9} \over {6}$

${1} \over {7}$

${6} \over {9}$ ✓

${6} \over {7}$
Which addition expression represents the composition of the mixed number, $5{{1} \over {3}}$ ?

1 + ${3} \over {5}$

3 + ${1} \over {5}$

5 + ${1} \over {3}$ ✓

5 + ${3} \over {1}$
4 + ${1} \over {9}$ describes the composition of which mixed number?

$2{{1} \over {9}}$

$4{{1} \over {9}}$ ✓

$9{{1} \over {4}}$

$4{{9} \over {1}}$
______ + ${3} \over {12}$ = $2{{3} \over {12}}$

'2' ✓
$Use the part-part-whole model to complete this equation. <Math>5{{3} \over {12}}</Math> = <span class="blank">______</span> + <Math> {3} \over {12}</Math>$

Use the part-part-whole model to complete this equation. $5{{3} \over {12}}$ = ______ + ${3} \over {12}$

'5' ✓
Complete this equation. $10{{3} \over {4}}$ = ______ + ${3} \over {4}$

'10' ✓

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Mixed numbers are composed of a whole number part and a fractional part.
The composition of mixed numbers can be written as an addition equation, adding the whole part and the fractional part.
Mixed numbers can be represented on a part-part-whole model.
The part-part-whole model can be used to form addition and subtraction equations.

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. For example, one and a half is a mixed number.
Composition - The composition of a whole number is the way in which the whole number is made up. For example, ten is composed of seven and three.