Question

The rational number between $\frac{2}{5}and\frac{3}{5}$ is

• A. $\frac{62}{60}$
• B. $\frac{13}{30}$
• C. $\frac{31}{30}$

Answer 1

The correct option is B $\frac{13}{30}$

$\frac{2}{5}=0.4$ and $\frac{3}{5}=0.6$

Now, the rational number should be between 0.4 to 0.6

Case 1 :
$\frac{13}{30}=0.4\overline{3}$
Yes, it is a rational number between them.

Case 2:
$\frac{31}{30}=1.0\overline{3}$
No, it is not a rational number between them as it exceeds 0.6

Case3:
$\frac{62}{60}=\frac{31}{30}=1.0\overline{3}$
No, it is not a rational number between them as it exceeds 0.6.