Question

Which of the following rational numbers is negative?

• A. $\left(\frac{-3}{7}\right)$
• B. $\left(\frac{-5}{-8}\right)$
• C. $\frac{9}{8}$
• D. $\frac{3}{-7}$

Answer 1

Answer: (A), (D)

$\frac{3}{-7}$

Explanation for the correct option:

When either the numerator or the denominator is a negative integer, it is a negative rational.

Fraction $\frac{3}{-7}$ and $\frac{-3}{7}$ are negative integer.

So, these are negative rational number.

Hence, option A and option D are correct options.

Explanation for the incorrect options:

Fractions $\left(\frac{-5}{-8}\right),\frac{9}{8}$ are positive fractions

As $\left(\frac{-5}{-8}\right)=\frac{5}{8}$

And $\frac{9}{8}$ is already positive

So, these are not negative fractions.

Hence, option B and option C are incorrect options.

Hence, the correct option are option A and option D .