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In a jar of 120 sweets, one in every six sweets is orange flavoured.

Level 5-6 Numbers - Fractions - Multiplication and Division

Fractions and money link to everyday life. Whether splitting a bill or sharing a prize, multiplying and dividing fractions helps make fair, accurate calculations.

Explore the Topic ?

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Fascinating Fact:

Finding fractions of money is easy with multiplication, 3/5 of £25 is 3/5 x 25 = £15.

In KS3 Maths, students practise multiplying and dividing fractions to solve real-world problems. Understanding how fractions work with money and measurements builds strong numerical reasoning.

Key Terms

Numerator: The top number in a fraction showing how many parts are considered.
Denominator: The bottom number showing how many equal parts make a whole.
Reciprocal: The flipped version of a fraction, used when dividing fractions.

Frequently Asked Questions (Click to see answers)

How do you multiply fractions in KS3 Maths?

Multiply the numerators together and the denominators together. For example, 2/3 x 3/4 = 6/12, which simplifies to 1/2.

How do you divide fractions?

Flip the second fraction (find its reciprocal) and multiply. For example, 2/3 ÷ 3/4 becomes 2/3 x 4/3 = 8/9.

Why are multiplying and dividing fractions important?

These skills help with splitting costs, scaling recipes, resizing drawings, and converting units. They build number fluency and problem-solving confidence.

Try These Related Quizzes

1 .

What is 3/8 of £48.00?

£6.00

£10.00

£14.00

£18.00

Rewrite the question as 3/8 x 48. 48 / 8 = 6, 6 x 3 = 18, therefore the answer is £18.00

2 .

What is ³⁄₁₀ ÷ ⁶⁄₂₅?

1¹⁄₄

1¹⁄₂

1³⁄₄

To divide by a fraction, invert and multiply: 3/10 ÷ 6/25 = 3/10 x 25/6. Use this method whenever you have to divide by fractions

3 .

14,000 fans attended the football match yesterday. 6/7 of them wore scarves. How many were without scarves?

2,000

4,000

8,000

10,000

6/7 of 14,000 = 12,000, therefore 2,000 were without scarves

4 .

What is 2³⁄₄ ÷ 4¹⁄₈?

1/3

1/2

2/3

3/4

Remember to invert the second fraction and change the divide sign to multiply

5 .

What is 1/9 x 3/5?

1/12

1/14

1/15

1/18

1 x 3 = 3 and 9 x 5 = 45 so we get the answer 3/45 or 1/15

6 .

A piece of copper wire is 7²⁄₃m long. What is the total length of three of these wires?

22³⁄₈

24¹⁄₃

3 x 7 = 21 and 3 x 2/3 = 6/3 or 2 then add these two numbers together

7 .

What is ⁹⁄₁₄ ÷ 1¹⁄₂?

1/7

2/7

3/7

5/7

To divide by a fraction, invert and multiply

8 .

Daniel is making pancakes. Each pancake uses ¹⁄₈ of a litre of batter. How much batter is used if Daniel makes 20 pancakes?

2¹⁄₂ litres

2³⁄₄ litres

3¹⁄₃ litres

4¹⁄₃ litres

I'll have lemon and sugar on mine please!

9 .

What is 2¹⁄₄ x 2¹⁄₅?

2³⁄₁₀

3⁵⁄₁₀

4¹⁹⁄₂₀

5¹⁄₂

2¹?₄ becomes ⁹?₄ which we multiply by 2¹?₅ or ¹¹?₅ to get ⁹⁹?₂₀ or 4¹⁹?₂₀

10 .

In a jar of 120 sweets, one in every six sweets is orange flavoured. If half the orange sweets are eaten, what fraction of the sweets is left?

⁵⁄₆

³⁄₄

¹¹⁄₁₂

⁹⁄₁₀

¹?₆ of 120 is 20, so 10 are eaten, leaving 110. ¹¹⁰?₁₂₀ = ¹¹?₁₂

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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