Question

Choose the correct word and fill in the blank:

$\frac{-5}{7}$ is ……… than $\frac{7}{5}$.

• A. greater
• B. smaller

Answer 1

Given rational numbers are $\frac{-5}{7}$ and $\frac{7}{5}$.

$\frac{-5}{7}$ is negative and $\frac{7}{5}$ is positive.

We know that every negative rational number is less than every positive rational number.

Therefore, $\frac{-5}{7}$ is smaller than $\frac{7}{5}$.