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.