Question

If $l:m=1\frac{1}{2}:1\frac{3}{4}$ and $m:n=2\frac{1}{3}:4\frac{1}{5}$ find
$l:m:n$

Answer 1

$\frac{l}{m}=1\frac{1}{2}:1\frac{1}{3}\frac{l}{m}=\frac{\frac{3}{2}}{\frac{4}{3}}=\frac{3}{2}\times \frac{3}{4}=\frac{9}{8}l=\frac{9}{8}m\frac{m}{n}=2\frac{1}{3}:4\frac{1}{4}=\frac{\frac{7}{3}}{\frac{17}{4}}=\frac{7}{3}\times \frac{4}{17}=\frac{28}{51}m=\frac{28}{51}nn=\frac{51}{28}ml:m:n=\frac{9}{8}m:m:\frac{51}{28}m=\frac{9}{8}:1:\frac{9}{8}\times 56:56:\frac{51}{28}\times 56=72:56:102=36:28:51$