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, 11⁄4 x 2⁄5 becomes 5⁄4 x 2⁄5. Next multiply 5 x 2 and 4 x 5 to get 10⁄20. Cancel down to 1⁄2.
Dividing fractions is like multiplying, but you invert the second fraction and change the divide sign to multiply. So, 11⁄4 ÷ 2⁄5 turns into 5⁄4 x 5⁄2. The answer is 25⁄8 or 31⁄8.
Check out our Helping Children Learn Fractions page for more insights on how fractions work and handy tips. Happy learning with KS3 Maths!
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You can find more about this topic by visiting BBC Bitesize - Fractions
1 x 3 = 3 and 9 x 5 = 45 so we get the answer 3/45 or 1/15
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6/7 of 14,000 = 12,000, therefore 2,000 were without scarves
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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
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Rewrite the question as 3/8 x 48. 48 / 8 = 6, 6 x 3 = 18, therefore the answer is £18.00
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1⁄6 of 120 is 20, so 10 are eaten, leaving 110. 110⁄120 = 11⁄12
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To divide by a fraction, invert and multiply
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3 x 7 = 21 and 3 x 2/3 = 6/3 or 2 then add these two numbers together
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21⁄4 becomes 9⁄4 which we multiply by 21⁄5 or 11⁄5 to get 99⁄20 or 419⁄20
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I'll have lemon and sugar on mine please!
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Remember to invert the second fraction and change the divide sign to multiply
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