Usman prepared 3/7 litres of orange juice for some guest. He poured the juice into glasses each with a capacity of 1/9 litres. (a)How many glasses of orange juice were there at most? (b)How much orange juice was left? Give your answer as a fraction in its simplest form.
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Question
Answer
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(a)
(3/7) / (1/9) = (3 x 9)/7 = 3R6 = 3 (round down to the nearest whole number)
(b)
3 x 1/9 = 3/9
(3/7) – (3/9) = [(3 x 9) – (3 x 7)] / (7 x 9) = (27 – 21)/63 = 6/63 = 2/21
Ans : (a) 3 glasses; (b) 2/21 litre.
Maths Master Chin