Subtract a mixed number from a mixed number | Maths | Quizalize & Oak National Academy

Starter quiz

${8} \over {12}$ − ${6} \over {12}$ =

${14} \over {12}$

${14} \over {24}$

${2} \over {0}$

${2} \over {12}$ ✓

${1} \over {12}$
Match the equations to the correct difference.

${7} \over {4}$ − ${1} \over {4}$

⇔

${6} \over {4}$ ✓

${9} \over {4}$ − ${2} \over {4}$

⇔

${7} \over {4}$ ✓

${9} \over {4}$ − ${7} \over {4}$

⇔

${2} \over {4}$ ✓

${14} \over {4}$ − ${2} \over {4}$

⇔

${12} \over {4}$ ✓

${6} \over {4}$ − ${3} \over {4}$

⇔

${3} \over {4}$ ✓
Match the improper fractions to their equivalent mixed number.

${11} \over {10}$

⇔

$1{{1} \over {10}}$ ✓

${18} \over {10}$

⇔

$1{{8} \over {10}}$ ✓

${29} \over {10}$

⇔

$2{{9} \over {10}}$ ✓

${34} \over {10}$

⇔

$3{{4} \over {10}}$ ✓

${46} \over {10}$

⇔

$4{{6} \over {10}}$ ✓
Match the mixed number to their equivalent improper fraction.

$2{{4} \over {10}}$

⇔

${24} \over {10}$ ✓

$3{{4} \over {10}}$

⇔

${34} \over {10}$ ✓

$1{{6} \over {10}}$

⇔

${16} \over {10}$ ✓

$2{{1} \over {10}}$

⇔

${21} \over {10}$ ✓

$5{{3} \over {10}}$

⇔

${53} \over {10}$ ✓
Calculate this. $6{{1} \over {8}}$ − ${3} \over {8}$ =

$6{6} \over {8}$

$5{{7} \over {8}}$

$5{{6} \over {8}}$ ✓

$6{{4} \over {8}}$

$6{{6} \over {8}}$
Match the equation to its difference.

$2{{7} \over {9}}$

⇔

$3{{1} \over {9}}$ − ${3} \over {9}$ ✓

$1{{5} \over {9}}$

⇔

$2{{2} \over {9}}$ − ${6} \over {9}$ ✓

$1{{6} \over {9}}$

⇔

$2{{1} \over {9}}$ − ${4} \over {9}$ ✓

$3{{7} \over {9}}$

⇔

$4{{3} \over {9}}$ − ${5} \over {9}$ ✓

Exit quiz

$Use the number line to complete the sentence: the difference between <Math>2{{1} \over {9}}</Math> and <Math>1{{5} \over {9}}</Math> is <span class="blank">______</span> ninths$

Use the number line to complete the sentence: the difference between $2{{1} \over {9}}$ and $1{{5} \over {9}}$ is ______ ninths

'5' ✓
Calculate this $3{{1} \over {5}}$ − $2{{3} \over {5}}$ = ?

${1} \over {5}$

${2} \over {5}$

${3} \over {5}$ ✓

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

$2{{3} \over {5}}$
Complete the missing box.

'5' ✓
Match the equations to the difference.

${4} \over {6}$

⇔

$3{{1} \over {6}}$ − $2{{3} \over {6}}$ ✓

${3} \over {6}$

⇔

$4{{2} \over {6}}$ − $3{{5} \over {6}}$ ✓

${5} \over {6}$

⇔

$4{{3} \over {6}}$ − $3{{4} \over {6}}$ ✓

${2} \over {6}$

⇔

$5{{1} \over {6}}$ − $4{{5} \over {6}}$ ✓
Andeep spends two and a quarter hours doing his homework. Izzy spends one and three-quarter hours doing her homework. How much more time did Andeep spend?

${1} \over {4}$ hours

${2} \over {4}$ hours ✓

${3} \over {4}$ hours

$1{{2} \over {4}}$ hours

$3{{4} \over {4}}$ hours
Izzy walks three and one-tenth kilometres on Saturday. On Sunday she walks one and four-tenth kilometres less than this. How far does she walk on Sunday?

${6} \over {10}$ km

${7} \over {10}$ km

$1{{7} \over {10}}$ km ✓

$2{{7} \over {10}}$ km

$4{{5} \over {10}}$ km

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

To subtract mixed numbers, we need to use our fraction-sense to determine the most appropriate strategy to use.
Mixed numbers can be subtracted by counting back using a number line or by converting them to improper fractions.
If mixed numbers are close, it is more efficient to ‘find the difference’ by counting forwards from part to whole.

Common misconception

Children may believe that a smaller mixed number cannot be subtracted from a greater one if its fractional part is greater. E.g. five and three-quarters cannot be subtracted from six and one-quarter.

If the mixed numbers are close to each other, try to ‘find the difference’ by counting forwards on a number line from the part to the whole.

Keywords

Mixed number - A mixed number is a whole number and a fraction combined.
Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.