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Question
From a rope 68 m long, pieces of equal size are cut. If length of one piece is `4 1/4`m, find the number of such pieces.
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Solution
Given, length of the rope = 68 m
And length of small piece = `4 1/4`m = `((4 xx 4) + 1)/4`m = `17/4`m
∴ Number of pieces = `"Total length of rope"/"Length of small piece" = 68/(17/4)`
= `68/1 xx 4/17` ...`[∵ "Reciprocal of" 17/4 = 4/17]`
= 4 × 4
= 16
Hence, the number of pieces is 16.
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