Multiply a mixed number by a whole number not bridging a whole | Maths

Starter quiz

Tick the equation that represents the image.

4 + 4 + 4 ✓

4 + 3

3 × 4 ✓

4 × 3 ✓
Tick the expressions that could represent this image.

6 × 3 ✓

6 + 6 + 6 ✓

3 × 6 ✓

7 + 7 + 7

7 × 3
Tick the images that show a mixed number.
Tick the mixed numbers

$1\frac{3}{4}$ ✓

7

$3\frac{4}{5}$ ✓

$\frac{11}{4}$
Tick the numbers that could be converted to a mixed number.

$\frac{7}{8}$

$\frac{9}{2}$ ✓

$\frac{7}{16}$

$\frac{15}{3}$ ✓
Match the improper fractions to the mixed number with the same value.

$\frac{7}{5}$

⇔

$1\frac{2}{5}$ ✓

$\frac{9}{5}$

⇔

$1\frac{4}{5}$ ✓

$\frac{11}{5}$

⇔

$2\frac{1}{5}$ ✓

$\frac{13}{5}$

⇔

$2\frac{3}{5}$ ✓

$\frac{14}{5}$

⇔

$2\frac{4}{5}$ ✓

Exit quiz

Tick the numbers greater than 1

$\frac{5}{6}$

$\frac{8}{8}$

$\frac{14}{12}$ ✓

$1\frac{1}{9}$ ✓
Tick the expressions that represent this image.

$\frac{3}{5}$ + 4

$\frac{2}{5}$ × 2

2 × $\frac{3}{5}$ ✓

$\frac{3}{5}$ × 2 ✓
Tick the expressions that represent this problem:It costs me £1.40 to catch the bus each day. I do this four times a week.

$\frac{1}{40}$ + $\frac{1}{40}$ + $\frac{1}{40}$

$\frac{1}{40}$ × 4

$1\frac{40}{100}$ × 4 ✓

$\frac{1}{40}$ + 4

4 × $1\frac{4}{100}$ ✓
Write in the missing number to make this equation correct.

'2' ✓
Write in the missing number.

'6' ✓
Tick the correct product.

$16\frac{8}{36}$

$8\frac{8}{9}$

$16\frac{8}{9}$ ✓

$16\frac{2}{9}$

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 find it difficult to represent the problem as an expression or equation as they misinterpret what the whole is.

Draw attention to what the whole is in each example. You might like to build up each image with a whole at a time, describing the fraction of the whole that is shaded/represented.

Keywords

Repesent - To represent something is to show it in a different way.
Mixed number - A mixed number is an improper fraction written as its whole number part plus the fractional part, where the fractional part is a proper fraction.
Partition - Partition means to split an object or value down into smaller parts.