Question

A rational number lie between $\frac{1}{4}$ and $\frac{1}{3}$ is _________.

• A. $\frac{7}{24}$
• B. $\frac{15}{48}$
• C. $\frac{13}{48}$
• D. All of these

Answer 1

The correct option is D All of these

So, a rational number between $\frac{1}{4}$ and $\frac{1}{3}$

$=\frac{\frac{1}{4}+\frac{1}{3}}{2}=\frac{7}{24}$

Now, another rational number between $\frac{1}{4}$ and $\frac{7}{24}$

$=\frac{\frac{1}{4}+\frac{7}{24}}{2}=\frac{13}{48}$

Now, another rational number between $\frac{1}{3}$ and $\frac{7}{24}$

$=\frac{\frac{1}{3}+\frac{7}{24}}{2}=\frac{15}{48}$

Hence, required two rational numbers between $\frac{1}{4}$ and $\frac{1}{3}$ are $\frac{7}{24},\frac{13}{48},\frac{15}{48}$