Question

Which of the following rational number lies between $\frac{-9}{19}$ and $\frac{5}{19}$?

• A. -89/190
• B. 27/190
• C. 23/190
• D. All the above

Answer 1

The correct option is D

All the above

Infinite numbers of rational numbers are possible between two rational numbers.
Multiplying both numerator and denominator by 10
i.e. $\frac{-9}{190}$ and $\frac{50}{190}$

Hence, $\frac{-89}{190}$, $\frac{-88}{190}$, $\frac{27}{190}$ ....will lie between $\frac{-9}{19}$ and $\frac{5}{19}$.