Question

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?

Answer 1

Given A piece of wire $\frac{7}{8}metre$long broke into two pieces

One piece was $\frac{1}{4}metre$long.

Let other piece of wire be $x$

To find the length of $x$

The length of $x$$=$Length of Complete wire $-$ Length of one piece wire

$$\begin{gathered} =\frac{7}{8}-\frac{1}{4} \\ =\frac{7\times 4}{8\times 4}-\frac{1\times 8}{4\times 8} \\ =\frac{28}{32}-\frac{8}{32} \\ =\frac{28-8}{32} \\ =\frac{20}{32} \\ =\frac{5}{8}metre \end{gathered}$$

Hence, the length of $x$piece wire is $\frac{5}{8}metre$