Question

Which of the following rational numbers lies between $\frac{-4}{5}$ and $\frac{-7}{5}$?

• A. $\frac{-36}{45}$
• B. $\frac{-35}{45}$
• C. $\frac{-39}{45}$
• D. $\frac{-63}{45}$

Answer 1

Answer: (C)

$\frac{-39}{45}$

As per the given options, let us multiply both numbers with $\frac{9}{9}$.

$\therefore \frac{-4}{5}\times \frac{9}{9}=\frac{-36}{45}$ and $\frac{-7}{5}\times \frac{9}{9}=\frac{-63}{45}$

$\therefore$ Clearly, $\frac{-39}{45}$ lies between $\frac{-4}{5}$ and $\frac{-7}{5}$.