Question

Compare the following ratios.

$4:7$ and $5:6$

Answer 1

Comparing the ratios

We have,

$4:7=\frac{4}{7}and5:6=\frac{5}{6}$

Now, LCM of denominators $7$ and $6is12$

So,$\frac{4}{7}=\frac{4\times 6}{7\times 6}=\frac{24}{42}and\frac{5}{6}=\frac{5\times 7}{6\times 7}=\frac{35}{42}$

Clearly, $24<35$

So, $\frac{24}{42}<\frac{35}{42}$ $\Rightarrow$ $\frac{4}{7}<\frac{5}{6}$

Hence, $4:7<5:6$