You will come across fractions in everyday life  half a pint of milk, quarter of an ounce of butter, an eighth of a pizza etc. Fractions are everywhere so you won't be surprised to find them in KS3 Maths.
Multiplying fractions is relatively easy. All you have to do is change any mixed numbers to top heavy fractions, then multiply the top row, and multiply the bottom row. So, to multiply 1^{1}⁄_{4} x ^{2}⁄_{5} first change 1^{1}⁄_{4} to ^{5}⁄_{4}. Next multiply 5 x 2 and 4 x 5 to get ^{10}⁄_{20}. Always look to see if you can cancel down: ^{10}⁄_{20} is the same as ^{1}⁄_{2}.
Dividing fractions is similar to multiplying, except you invert the second fraction, and change the divide sign to multiply. So, 1^{1}⁄_{4} ÷ ^{2}⁄_{5} would be ^{5}⁄_{4} x ^{5}⁄_{2}. 5 x 5 = 25 and 4 x 2 = 8 so your answer is ^{25}⁄_{8} or 3^{1}⁄_{8}.
Have a read of our Helping Children Learn Fractions page. It explains how fractions work and gives handy tips.














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

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


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

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


^{1}⁄_{6} of 120 is 20, so 10 are eaten, leaving 110. ^{110}⁄_{120} = ^{11}⁄_{12}

To divide by a fraction, invert and multiply


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

2^{1}⁄_{4} becomes ^{9}⁄_{4} which we multiply by 2^{1}⁄_{5} or ^{11}⁄_{5} to get ^{99}⁄_{20} or 4^{19}⁄_{20}


I'll have lemon and sugar on mine please!

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