Question

Compare the ratios $4:5$ and $7:9.$

Answer 1

To compare the given ratios we will rewrite given ratios such that their denominators become equal.

L.C.M. of $5$ and $9=45$

Therefore,

$\frac{4}{5}=\frac{4\times 9}{5\times 9}$

$=\frac{36}{45}$

$\frac{7}{9}=\frac{7\times 5}{9\times 5}$

$=\frac{35}{45}$

$\because \frac{36}{45}>\frac{35}{45}\Rightarrow \frac{4}{5}>\frac{7}{9}$

Hence $\frac{4}{5}>\frac{7}{9}.$