Multiply a mixed number by a whole number bridging a whole | Maths

Starter quiz

Tick the numbers greater than 1

$\frac{4}{9}$

$\frac{7}{9}$

$\frac{9}{9}$

$\frac{12}{9}$ ✓

$1\frac{2}{9}$ ✓
Tick expressions where the product would be greater than one whole.

$\frac{4}{9}$ × 2

$\frac{2}{6}$ × 3

$\frac{5}{6}$ × 2 ✓

$\frac{7}{8}$ × 1

$\frac{5}{7}$ × 3 ✓
Tick the correct symbol to compare these two expressions.

< ✓

>

=
Tick the correct symbol to compare these two expressions.

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> ✓

=
Write in the missing number.

'8' ✓
Tick the correct product. $5\frac{2}{7}$ × 3 =

$15\frac{3}{21}$

$15\frac{2}{7}$

$15\frac{6}{7}$ ✓

$5\frac{6}{7}$

$15\frac{6}{21}$

Exit quiz

Tick the correct symbol to compare these two expressions.

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>

= ✓
Write in the missing product. 2 × $3\frac{4}{8}$ = ______

'7' ✓
Tick the correct symbol to compare these two expressions.

< ✓

>

=
Tick the largest expression.

3 × $2\frac{4}{9}$

4 × $2\frac{4}{9}$ ✓

3 × $2\frac{4}{9}$
Tick the expressions that match this problem. Andeep walks the dog $2\frac{1}{4}$ km. He does this 3 times a week.

$2\frac{1}{2}$ × 3

$2\frac{1}{4}$ × 3 ✓

3 × $2\frac{1}{4}$ ✓

4 × $2\frac{1}{3}$

$2\frac{1}{4}$ × $\frac{1}{3}$
Tick the expressions that are true.

$1\frac{1}{2}$ × 4 = $4\frac{1}{2}$

$1\frac{1}{4}$ × 4 = 5 ✓

$1\frac{3}{4}$ × 4 = 7 ✓

4 × $1\frac{1}{5}$ = $1\frac{4}{5}$

$1\frac{1}{10}$ = 4 × $\frac{4}{10}$

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

Partition the mixed number into a whole number and a fraction.
Multiply the whole number part by the whole number factor.
Multiply the fraction by the whole number using unitising language.
Recombine the partial products to calculate the overall product.

Common misconception

Pupils may look to calculate each expression straight away.

Ensure pupils are encouraged to estimate expressions, showing how this can be more efficient particularly when looking to compare expressions. The product is not always needed.

Keywords

Mixed number - A whole number and a fraction can be combined to form a mixed number.
Compare - You compare to find out what is the same and what is different. You can compare numbers or expressions to find out if one is greater than or less than another.
Partitioning - Partitioning is the act of splitting an object or value into smaller parts.