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A 11713 m long rope is cut into equal pieces measuring 713 m each. How many such small pieces are these? - Mathematics

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Question

A `117 1/3` m long rope is cut into equal pieces measuring `7 1/3` m each. How many such small pieces are these?

Sum

Solution

We have,

Length of rope 

= `117 1/3` m

= `(117 xx 3 + 1)/3` m

= `352/3` m

Length of each piece

= `7 1/3` m

= `22/3` m

So, the number of pieces of the rope

= `"Total length of the rope"/"Length of each piece"`

= `(352/3)/(22/3)`

= `352/3 ÷ 22/3`

= `352/3 xx 3/22`

= 16

Hence, number of small pieces cut from the `117 1/3` m long rope is 16.

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Chapter 1: Rational Numbers - Exercise [Page 21]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise | Q 118. | Page 21

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