Question

Out of the rational numbers $\frac{7}{-13},\frac{-5}{13},\frac{-11}{13}$ which is smaller ?

• A. $\frac{7}{13}$
• B. $\frac{-5}{13}$
• C. $\frac{-11}{13}$
• D. None

Answer 1

The correct option is C $\frac{-11}{13}$

Take any two given rational numbers
$\frac{-7}{13},\frac{-5}{13}$
$-7\times 13,-5\times 13$
$-91,-65$
$\because -65>-91$
So $\frac{-7}{13}$ is smaller.
Now compare this with $\frac{-11}{13}$
$\frac{-7}{13},\frac{-11}{13}$
$-7\times 13,-11\times 13$
$-91,-143$
$\because -91>-143$
So $\frac{-11}{13}$ is smaller.