A piece of wire \( \frac{7}{8} \) metre long broke into two pieces. One piece was \( \frac{1}{4} \) metre long. How long is the other piece?

Given:

A piece of wire \( \frac{7}{8} \) metre long broke into two pieces. One piece was \( \frac{1}{4} \) metre long.

To do: 

We have to the length of the other piece.

Solution: 

Total length of the wire $= \frac{7}{8}\ m$

Length of one piece of wire $= \frac{1}{4}\ m$

This implies,

Length of the other piece of wire $=$ Total length of the original wire$-$ Length of one piece of wire

$= \frac{7}{8} - \frac{1}{4}$

$= \frac{7\times1-1\times2}{8}$

$=\frac{7-2}{8}$

$=\frac{5}{8}$

Therefore, the length of the other piece of wire is $\frac{5}{8}$ metres.

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Updated on: 10-Oct-2022

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