New
New
Year 5

# Represent and multiply an improper fraction by a whole number.

I can represent multiplication of an improper fraction using multiplication and repeated addition.

New
New
Year 5

# Represent and multiply an improper fraction by a whole number.

I can represent multiplication of an improper fraction using multiplication and repeated addition.

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## Lesson details

### Key learning points

1. Multiplication can be represented as repeated addition
2. Multiplication can be represented as scaling
3. Use the language of unitising '__ groups of __ is equal to __'

### Common misconception

Pupil may multiply both the numerator and the denominator by the integer therefore finding an equivalent fraction.

Encourage pupils to represent the maths using unitised counters as this will support them to recognise the multiplicand and the multiplier.

### Keywords

• Repeated addition - Repeated addition is the process of adding the same equal group to itself multiple times.

• Improper fraction - An improper fraction is a fraction where the numerator is greater than the denominator.

• Represent - To represent something is to show it in a different way.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
Tick the expressions that could represent this expression: 4 + 4 + 4
4 + 3
3 + 4
Q2.
Tick the expressions that could represent this image.
3 × 3
Correct answer: 3 + 3 + 3 + 3
4 + 3 + 3
Q3.
Tick the improper fractions.
$$\frac{7}{8}$$
$$\frac{9}{9}$$
Correct answer: $$\frac{12}{6}$$
Correct answer: $$\frac{5}{2}$$
Q4.
Tick the expressions that could represent this expression.
Correct answer: 4 × $$\frac{1}{8}$$
Correct answer: $$\frac{1}{8}$$ × 4
$$\frac{4}{8}$$ × 1
$$\frac{1}{4}$$ × 8
Q5.
Write in the missing numerator.
Q6.
Write in the missing numerator.

## Exit quiz

### 6 Questions

Q1.
What does the image represent?
Correct answer: $$\frac{7}{4}$$ + $$\frac{7}{4}$$
$$\frac{7}{4}$$ + 2
2 + $$\frac{7}{4}$$
Q2.
Tick the counters that represents this image.
Correct Answer: An image in a quiz
Q3.
Tick the counters that represents this expression. $$\frac{7}{3}$$ + $$\frac{7}{3}$$
Correct Answer: An image in a quiz
Q4.
Tick the images that represent this expression. $$\frac{8}{5}$$ × 3
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Q5.
Write in the missing numerator.
$$\frac{9}{30}$$
Correct answer: $$\frac{45}{6}$$
$$\frac{45}{30}$$
$$\frac{56}{9}$$
$$\frac{14}{11}$$