Question

Compare the ratios $5˸12$ and $7˸9$.

Answer 1

Given:

$5˸12$ and $7˸9$

$5˸12=\frac{5}{12}7˸9=\frac{7}{9}$

Make the denominator of each fraction equal by taking LCM

LCM $\left(12,9\right)=36$

$$\begin{gathered} \frac{5}{12}=\frac{5}{12}\times \frac{3}{3}=\frac{15}{36} \\ \frac{7}{9}=\frac{7}{9}\times \frac{4}{4}=\frac{28}{36} \\ \because \frac{15}{36}<\frac{28}{36} \\ \Rightarrow \frac{5}{12}<\frac{7}{9} \\ \Rightarrow 5˸12<7˸9 \end{gathered}$$

Hence, $5˸12<7˸9$