Question

$a:b=\frac{1}{2}:\frac{1}{3}$ and $c:b=\frac{1}{5}:\frac{1}{4}$ find a:b:c.

Answer 1

Given a : b = 3 : 2
c : b = 4 : 5 or b : c = 5 : 4
$=5\times \frac{2}{5}:4\times \frac{2}{5}$
$=2:\frac{8}{5}$
$\therefore a:b:c=3:2:\frac{8}{5}$
$=15:10:8$