Question

Compare the ratios :

$5:6$ and $7:8$

Answer 1

To compare the ratios first we write them as fractions and compare the fractions

$5:6=\frac{5}{6}$and $7:8=\frac{7}{8}$

now we cross multiply the numerator and denominator of these two fractions

$5\times 8$$=40$ and $6\times 7$$=42$

$40<42$ so $\frac{5}{6}<\frac{7}{8}$

Hence $5:6$ is smaller than $7:8$