Answer
$5\frac{3}{16}\ in$
Work Step by Step
Sum the lengths of each rod cut and the waste. The denominators are all factors of 16, so the least common denominator is 16.
$1\frac{3}{8}+\frac{1}{16}+2\frac{5}{16}+\frac{1}{16}+4\frac{3}{4}+\frac{1}{16}=$
$1\frac{3\times2}{8\times2}+\frac{1}{16}+2\frac{5}{16}+\frac{1}{16}+4\frac{3\times4}{4\times4}+\frac{1}{16}=$
$1\frac{6}{16}+\frac{1}{16}+2\frac{5}{16}+\frac{1}{16}+4\frac{12}{16}+\frac{1}{16}=$
$7\frac{26}{16}=$
$8\frac{10}{16}$
Subtract from the original length to find the length of the remaining piece.
$13\frac{13}{16}-8\frac{10}{16}=5\frac{3}{16}$
