Question

Which of the following is a rational number between $\frac{5}{4}$ and $\frac{3}{2}$?

• A. $\frac{5}{2}$
• B. $\frac{11}{8}$
• C. $\pi$
• D. $\sqrt{5}$

Answer 1

The correct option is B $\frac{11}{8}$

On calculating we get,
$\frac{5}{4}=1.25$ and $\frac{3}{2}=1.5$​

Now, Checking the options,​
$\frac{5}{2}=2.5$​
$\frac{11}{8}=1.375$​
​$\pi =3.14285714$​
$\sqrt{5}=2.23606798$

$\pi$ and ​$\sqrt{5}$ are irrational numbers and we can see that 1.375 lies between 1.25 and 1.5 ​

Hence, the rational number between $\frac{3}{2}$ and $\frac{5}{4}$ is $\frac{11}{8}$ ​