Question

Compare the following ratio:

$4:7and5:8$

Answer 1

We have, $4:7=\frac{4}{7}$ and $5:8=\frac{5}{8}$

Since, LCM of $7$and $8$ is $56$, we get

To make denominator $56$, we multiply both numerator and denominator by $8$

$\frac{4\times 8}{7\times 8}=\frac{32}{56}$

Now, to make denominator $56$, we multiply both numerator and denominator by $7$

$\frac{5\times 7}{8\times 7}=\frac{35}{56}$

Now, we will compare the numerators of $\frac{32}{56}$ and $\frac{35}{56}$

Since, $32<35$

Then, $\frac{32}{56}<\frac{35}{56}$

$\frac{4}{7}<\frac{5}{8}$

Hence, the ratio $5:8$ is greater than $5:8$