# 6.  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?

S Sanket Gandhi

Let the length of another piece of wire be x.

Thus,                   $x\ +\ \frac{1}{4}\ =\ \frac{7}{8}$

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

$=\ \frac{7\times 4\ -\ 1\times 8}{32}\ =\ \frac{20}{32}$

$=\ \frac{10}{16}\ =\ \frac{5}{8}$

Hence the length of other part is  $\frac{5}{8}\ m$ .

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