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A piece of wire 7 / 8 metre long broke into two pieces. One piece was 1 / 4 metre long. How long is the other piece?

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?

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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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