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.

Answer 1

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.