Question 1096199
<br>If the smaller piece is 1/13 of the larger, then the larger is 13 times as long as the smaller.  So
let x = shorter piece length
then 13x = longer piece length
{{{x+13x = 182}}}
{{{14x = 182}}}
{{{x = 13}}}
<br>
The lengths of the two pieces are x=13 and 13x = 169.<br>
I didn't see the other tutor's solution before I posted mine....
But note that working the problem with fractions is a bit more difficult (a LOT more difficult for some people!); so I avoid using fractions if it is easy to do so.