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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 are everywhere in everyday life – half a pint of milk, a quarter of an ounce of butter, an eighth of a pizza. So, no surprise they pop up in KS3 Maths. In this quiz we'll look at how to multiply and divide them.

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Multiplying fractions is quite easy. Change mixed numbers to top-heavy fractions, multiply the top row, and the bottom row. For example, 114 x 25 becomes 54 x 25. Next multiply 5 x 2 and 4 x 5 to get 1020. Cancel down to 12.

Dividing fractions is like multiplying, but you invert the second fraction and change the divide sign to multiply. So, 114 ÷ 25 turns into 54 x 52. The answer is 258 or 318.

Check out our Helping Children Learn Fractions page for more insights on how fractions work and handy tips. Happy learning with KS3 Maths!

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.
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
16 of 120 is 20, so 10 are eaten, leaving 110. 110120 = 1112
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.
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 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
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.
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
9.
What is 214 x 215?
2310
3510
41920
512
214 becomes 94 which we multiply by 215 or 115 to get 9920 or 41920
10.
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
You can find more about this topic by visiting BBC Bitesize - Fractions

Author:  Frank Evans

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