Question

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

• A. $\frac{11}{20}$
• B. $\frac{9}{15}$
• C. $\frac{17}{20}$
• D. $\frac{11}{15}$

Answer 1

The correct option is D $\frac{11}{15}$


$\frac{2}{3}=\frac{10}{15}$, $\frac{4}{5}=\frac{12}{15}$, and $\frac{10}{15}<\frac{11}{15}<\frac{12}{15}$
$\Rightarrow \frac{11}{15}$ lies in between $\frac{2}{3}$ and $\frac{4}{5}$