Question

Which ratio is the greater

$2:3or5:6$

Answer 1

Step-1: Express each ratio as a fraction

$2:3=$$\frac{2}{3}$

$5:6=$$\frac{5}{6}$

Step-2: Find the LCM of denominators of a given ratio $\frac{2}{3}$and $\frac{5}{6}$

$LCMof(3,6)=$$6$

Step-3: Equalize the denominators to $LCMof(3,6)=$$6$ and convert them into an equivalent fraction

$\frac{2}{3}$$=$$\frac{2\times 2}{3\times 2}=$$\frac{4}{6}$

$\frac{5}{6}$$=$$\frac{5\times 1}{6\times 1}=$$\frac{5}{6}$

Step-4: Compare the fractions $\frac{4}{6}$and $\frac{5}{6}$

$\frac{5}{6}$$>$ $\frac{4}{6}$ ( If denominators are the same, then the greater the numerator will be the greater fraction )

Hence, $\frac{5}{6}$$>$ $\frac{2}{3}$