Question

which ratio is Greater 5:6 or6:7

Answer 1

$Write\ the\ ratios\ as\ fractions. \\ \\ 5:6 = \frac{5}{6} \\ \\ 6:7 = \frac{6}{7} \\ \\ \\ By\ cross\ multiplication, \\ \\ \frac{5}{6} < \frac{6}{7} \\ \\ 5 \times 7 <6 \times 6 \\ \\ 35 < 36 \\ \\ \\ \therefore \frac{6}{7}\ is\ greater.$

$OR \\ \\ \\ Make\ denominators\ of\ both\ fractions\ same. \\ \\ \\ \frac{5}{6} = \frac{5 \times 7}{6 \times 7} = \frac{35}{42} \\ \\ \frac{6}{7} = \frac{6 \times 6}{7 \times 6} = \frac{36}{42} \\ \\ \\ \frac{35}{42} < \frac{36}{42} \\ \\ \frac{5}{6} < \frac{6}{7} \\ \\ \\ \therefore \frac{6}{7}\ is\ greater.$

$Thank\ you. \\ \\ \\ \#adithyasajeevan$