Question

A piece of wire 3 3/4 long brokeinto two pieces one piece is 1 1/5 m long how long is the other piece

Answer 1

$\bold{Given,}$

• $\bold{Length\: of\: the\:wire\: = 3\frac{3}{4}m=\frac{15}{4}m}$

• $\bold{Length\: of\: one\: piece\: = 1\frac{1}{5}m=\frac{6}{5}m}$

$\bold{\: Length\: of\: other\: piece\: = (\frac{15}{4}-\frac{6}{5})m}$

$\implies\bold{ Length\: of\: other\: piece\: = \frac{(75-24)}{(4\times5)}}$

$\boxed{\bold{\therefore\: Length\: of\: other\: piece\: = \frac{51}{20}}}$

Answer 2

$\sc \rm Let \ the \ length \ of \ other\ piece\ be \ \bf x\ .\\\\\sc\rm Length \ of \ the \ wire = 3\frac{3}{4} m=\frac{15}{4}m \\\\\sc\rm Length \ of\ one \ piece =1\frac{1}{5} m=\frac{6}{5}m \\\\\rm\longrightarrow x+\frac{6}{5}=\frac{15}{4} \\\\\rm\longrightarrow x=\frac{15}{4}-\frac{6}{5}$

        $\sc\rm = \frac{(15\times5)-(6\times4)}{4\times5}$

        $\rm\sc=\frac{75-24}{20}$

        $\rm\sc =\underline{\underline{\bf\frac{51}{20} }}$

HOPE IT HELPS U ...............