Question

A piece of rod one five by nine meters long is broken into two pieces. One piece was two by three meters long. How long is the other piece.

Answer 1

$\text{Length of rod} =1 \: \frac{5}{9} \: m = \frac{14}{9} \: m$

$\text{It is broken into two pieces} \\ \\ \text{Length of one piece} = \frac{2}{3} \: m$
$\text{Length of other piece} = \frac{14}{9} - \frac{2}{3} \\ \\ = \frac{14 - 2 \times 3}{9} \\ \\ = \frac{14 - 6}{9} \\ \\ = \frac{8}{9} \: m$

$\text{so length of one piece is} \: \frac{8}{9} \: m$

Answer 2

$length \: of \: piece \: of \: rod =1 \frac{5}{9} m \\ \\ length \: of \: piece \: of \: rod = \frac {14}{9} m \\ \\ As \:it \: is \: broken \: into \: two \: pieces. \\ \\ length \: of \: one \: piece = \frac{2}{3} m \\ \\ length \: of \: other \: piece \\ \\ = \frac{14}{9} - \frac{2}{3} \\ \\ = \frac{14 - 6}{9} \\ \\ = \frac{8}{9} m$

So the length of other piece is 8/9 metre.

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