Question

The rational number between $\frac{1}{6}$ and $\frac{1}{4}$ is ________.

• A. $0$
• B. $\frac{5}{24}$
• C. $\frac{24}{5}$
• D. $\frac{25}{5}$

Answer 1

The correct option is B

$\frac{5}{24}$

To find the rational number between $\frac{1}{6}$ and $\frac{1}{4}$. Let's find the mean of both the given numbers.

$(\frac{1}{6}+\frac{1}{4})÷2$

$=\left(\frac{2+3}{12}\right)÷2$

$=\frac{5}{12}\times \frac{1}{2}$

$=\frac{5}{24}$ is a rational number between $\frac{1}{6}$ and $\frac{1}{4}$.