Question

Given $9:7\frac{1}{7}<5\frac{1}{4}:8\frac{1}{6}$

If true then enter $1$ and if false then enter $0$

Answer 1

Converting the given ratios into fractions we get,

$9:7\frac{1}{7}=\frac{9}{7\frac{1}{7}}=\frac{9}{\frac{50}{7}}=\frac{63}{50}$

$5\frac{1}{4}:8\frac{1}{6}=\frac{5\frac{1}{4}}{8\frac{1}{6}}=\frac{\frac{21}{4}}{\frac{49}{6}}=\frac{9}{14}$

$\frac{63}{50}$ is an improper fraction, while $\frac{9}{14}$ is a proper fraction.

We know that improper fractions are greater in value than proper fraction.
Hence, $9:7\frac{1}{7}$ is greater.