From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/ 4 m long. What fraction of the whole will be left?

Q: From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/ 4 m long. What fraction of the whole will be left?

Length of each piece = 31/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m ∴ Required fraction = 3/4/30 = 1/4

1/40
3/4
8/13
7/13

Correct Answer: 1/40

Explanation:

Length of each piece = 3¹/₄ = 13/4 m
Maximum pieces that can be cut = 30/(13/4) = 9
∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m
∴ Required fraction = 3/4/30 = 1/4

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