Question

If $a:b=5:7$ and $b:c=14:15$ and $a:c$.

Answer 1

$a:b=\frac{5}{7}\frac{b}{c}=\frac{14}{15}\frac{a}{b}=\frac{5}{7}b=\frac{14}{15}ca=\frac{5}{7}bc=\frac{15}{14}b\frac{a}{c}=\frac{\frac{5}{7}b}{\frac{15}{14}b}=\frac{5}{7}\times \frac{14}{15}=\frac{2}{3}$