New
New
Year 5

# Multiply a proper fraction by a whole number where the product is within a whole

I can multiply a proper fraction by a whole number where the product is within a whole.

New
New
Year 5

# Multiply a proper fraction by a whole number where the product is within a whole

I can multiply a proper fraction by a whole number where the product is within a whole.

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## Lesson details

### Key learning points

1. If 4 groups of 2 are equal to 8 then 4 groups of 2 ninths are equal to 8 ninths
2. __ groups of __ is equal to __
3. The numerator of the fraction is multiplied by the whole number and the denominator remains the same

### Common misconception

Pupils multiply both the numerator and denominator by the whole number.

Ensure pupils are given time to explore how equations are represented using multiple representations and avoiding 'finding the answer' initially. Encourage children to reason how each equation is linked to the representations.

### Keywords

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

• Numerator - A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.

• Denominator - A numerator is the top number in a fraction. It shows how many parts we have.

• Unitise - Unitising means treating groups that contain or represent the same number of things as units or ones.

### 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.
The name for the number on the bottom of a fraction is the ____________.
numerator
fractional part
vinculum
Q2.
Tick the expressions that represent this image.
Correct answer: 3 + 3 + 3 = 9
Correct answer: 3 × 3 = 9
Correct answer: 9 = 3 + 3 + 3
6 = 3 × 3
Q3.
Tick the factors of 12
5
Q4.
Which image represents this expression? 4 × $$\frac{2}{12}$$
Correct Answer: An image in a quiz
Q5.
Which expression represents this image?
$$\frac{2}{8}$$ × 2
Correct answer: $$\frac{2}{8}$$ × 3
$$\frac{2}{3}$$ × 8
Correct answer: 3 × $$\frac{2}{8}$$
Q6.
Which image matches the expression $$\frac{2}{7}$$ × 3
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz

## Exit quiz

### 6 Questions

Q1.
The name for the number on the top of a fraction is the ____________.
fractional part
denominator
vinculum
Q2.
When you multiply a fraction by a whole number, the denominator __________.
increases in size.
decreases in size.
Q3.
The yellow coloured part has a value of:
Correct answer: $$\frac{2}{8}$$
$$\frac{6}{8}$$
$$\frac{2}{6}$$
$$\frac{2}{4}$$
Q4.
Which images match the equation $$\frac{3}{9}$$ × 2 = $$\frac{6}{9}$$
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Q5.
Which equation represents this image?
$$\frac{4}{20}$$ × 4 = $$\frac{8}{20}$$
$$\frac{4}{20}$$ × 4 = $$\frac{16}{80}$$
Correct answer: $$\frac{4}{20}$$ × 4 = $$\frac{16}{20}$$
Correct answer: 4 × $$\frac{4}{20}$$ = $$\frac{16}{20}$$
Correct answer: $$\frac{16}{20}$$ = 4 × $$\frac{4}{20}$$
Q6.
Which equation represents this image?
$$\frac{10}{3}$$ × 3 = $$\frac{30}{3}$$
Correct answer: $$\frac{3}{10}$$ × 3 = $$\frac{9}{10}$$
Correct answer: $$\frac{9}{10}$$ = $$\frac{3}{10}$$ × 3
Correct answer: $$\frac{9}{10}$$ = 3 × $$\frac{3}{10}$$