Question

Which of the following rational number lies between $\frac{7}{3}$ and $\frac{8}{5}$?

• A. $\frac{44}{30}$
• B. $\frac{47}{30}$
• C. $\frac{59}{30}$
• D. $\frac{72}{30}$

Answer 1

The correct option is C $\frac{59}{30}$

It is known that if we have two rational numbers $aandb$, then their average, i.e, $\frac{a+b}{2}$ lies between the two numbers $a$ and $b$.
Thus, the rational number lies between $\frac{7}{3}$ and $\frac{8}{5}=\frac{\frac{7}{3}+\frac{8}{5}}{2}=\frac{59}{30}$