Question

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

Answer 1

Given: Length of wire $=\frac{7}{8}$meters

after break, length of one piece of wire $=\frac{1}{4}$ meters

Let the length of other piece of wire be $x$ metres.

so, $\frac{1}{4}+x=\frac{7}{8}$ [$\because$ Total length $=$ Sum of two lengths ]

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

$\Rightarrow x=\frac{7}{8}-\frac{1\times 2}{4\times 2}$

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

$\Rightarrow x=\frac{5}{8}$

Hence, the length of the other piece is $\frac{5}{8}.$