Question

Which of the following is a rational number between $\frac{1}{4}$ and $\frac{1}{3}$?

• A. $\frac{1}{6}$
• B. $\frac{1}{2}$
• C. $\frac{7}{24}$
• D. $\frac{2}{3}$

Answer 1

The correct option is C

$\frac{7}{24}$

As we know that between any two numbers there are infinite number of rational numbers. A rational number between $p$ and $q$ is $\frac{p+q}{2}$.
Thus, a rational number between $\frac{1}{4}$ and $\frac{1}{3}$:
$\Rightarrow \frac{\frac{1}{4}+\frac{1}{3}}{2}\Rightarrow \frac{\frac{7}{12}}{2}\Rightarrow \frac{7}{24}$.