Question

Which of the following numbers lies between $\frac{5}{24}$ and $\frac{3}{8}$?

• A. $\frac{7}{2}$
• B. $1$
• C. $\frac{7}{24}$
• D. $0$

Answer 1

The correct option is C $\frac{7}{24}$

Mean $=\frac{\frac{3}{8}+\frac{5}{24}}{2}=\frac{\frac{9+5}{24}}{2}=\frac{\left(\frac{14}{24}\right)}{2}$

$=\frac{7}{12}\times \frac{1}{2}$

$=\frac{7}{24}$

Mean of two numbers lies between the two numbers.

So, $\frac{7}{24}$ lies between $\frac{3}{8}$ and $\frac{5}{24}.$