Lucy
Ask the AI Tutor
Need help with Level 5-6 Numbers - Fractions - Multiplication and Division? Ask our AI Tutor!
Lucy AI Tutor - Lucy
Connecting with Tutor...
Please wait while we establish connection
Lucy
Hi! I'm Lucy, your AI tutor. How can I help you with Level 5-6 Numbers - Fractions - Multiplication and Division today?
now
Level 5-6 Numbers - Fractions - Multiplication and Division
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 ?
(quiz starts below)

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.

  • 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.
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.

1 .
What is 214 x 215?
2310
3510
41920
512
21?4 becomes 9?4 which we multiply by 21?5 or 11?5 to get 99?20 or 419?20
2 .
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?
56
34
1112
910
1?6 of 120 is 20, so 10 are eaten, leaving 110. 110?120 = 11?12
3 .
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
4 .
Daniel is making pancakes. Each pancake uses 18 of a litre of batter. How much batter is used if Daniel makes 20 pancakes?
212 litres
234 litres
313 litres
413 litres
I'll have lemon and sugar on mine please!
5 .
What is 914 ÷ 112?
1/7
2/7
3/7
5/7
To divide by a fraction, invert and multiply
6 .
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
7 .
A piece of copper wire is 723m long. What is the total length of three of these wires?
2238
23
2413
26
3 x 7 = 21 and 3 x 2/3 = 6/3 or 2 then add these two numbers together
8 .
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
9 .
What is 234 ÷ 418?
1/3
1/2
2/3
3/4
Remember to invert the second fraction and change the divide sign to multiply
10 .
What is 310 ÷ 625?
1
114
112
134
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
You can find more about this topic by visiting BBC Bitesize - Fractions

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

© Copyright 2016-2025 - Education Quizzes
Work Innovate Ltd - Design | Development | Marketing