Question

Which of the following is a rational number between $\frac{2}{3}$ and $\frac{5}{7}$ ?

• A. $\frac{1}{2}$
• B. $\frac{10}{21}$
• C. $\frac{20}{42}$
• D. $\frac{29}{42}$

Answer 1

The correct option is D $\frac{29}{42}$

Rational number between $\frac{2}{3}$ and $\frac{5}{7}=\frac{1}{2}(\frac{2}{3}+\frac{5}{7})=\frac{1}{2}\left(\frac{14+15}{21}\right)=\frac{1}{2}\times \frac{29}{21}=\frac{29}{42}$