Question

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

Answer 1

Answer:

other piece = 5/8 m

Step-by-step explanation:

A piece of wire 7/8 meter long

One piece was 1/4 meter long

other piece = Total Wire length - one piece length

=> other piece =  7/8  - 1/4  m

=> other piece = 7/8 - 2/8 m

=> other piece = (7 - 2)/8  m

=> other piece = 5/8 m

other piece is 5/8 meter long

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

GIVEN

A piece of wire 7/8 metre long broke into two pieces. One piece was 1/4 metre long

TO DETERMINE

The length of the other piece

CALCULATION

$\displaystyle \sf{ Total \: length \: of \: the \: piece \: of \: wire = \frac{7}{8} \: \: metre}$

$\displaystyle \sf{The \: length \: of \: the \: first \: piece \: = \: \frac{1}{4} \: \: \: metre }$

$\sf{Let \: the \: length \: of \: the \: second \: piece \: = \: x \: cm}$

Then by the given condition

$\displaystyle \sf{ x + \frac{1}{4} = \frac{7}{8} \: }$

$\implies \: \displaystyle \sf{ x = \frac{7}{8} - \frac{1}{4} \: }$

$\implies \: \displaystyle \sf{ x = \frac{7 - 2}{8} \: }$

$\implies \: \displaystyle \sf{ x = \frac{5}{8} \: }$

$\therefore \: \displaystyle \sf{The \: length \: of \: the \: second\: piece \: = \: \frac{5}{8} \: \: \: metre }$

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