Question

Arrange the Rational numbers $\frac{-2}{5}$, $\frac{1}{-5}$ and $\frac{1}{11}$ in descending order

• A. $\frac{1}{-5}$ > $\frac{1}{11}$ > $\frac{-2}{5}$
• B. $\frac{1}{11}$ > $\frac{1}{-5}$ > $\frac{-2}{5}$
• C. $\frac{1}{11}$ < $\frac{1}{-5}$ < $\frac{-2}{5}$
• D. $\frac{1}{11}$ > $\frac{-2}{5}$ > $\frac{1}{-5}$

Answer 1

The correct option is B

$\frac{1}{11}$ > $\frac{1}{-5}$ > $\frac{-2}{5}$

To compare the following numbers we can make the denominator same or we can directly see the numbers and figure it out.

$\frac{1}{11}$ is the only positive number out of the three. So it has to be the greatest.

Comparing $\frac{1}{-5}$ and $\frac{-2}{5}$ we have the denominator same and $\frac{-1}{5}$ > $\frac{-2}{5}$

$\therefore$ The required Descending order is : $\frac{1}{11}$ > $\frac{1}{-5}$ > $\frac{-2}{5}$