Question

Two Rational Numbers Between $\frac{2}{3}$ and $\frac{5}{3}$ are:

Answer 1

To find the rational number between $\frac{2}{3}$ and $\frac{5}{3}$, we will multiply both the number by $\left(n+1\right)$ in the numerator and the denominator.

$\frac{2}{3}=\frac{2}{3}\times \frac{3}{3}=\frac{6}{9}$ and $\frac{5}{3}=\frac{5}{3}\times \frac{3}{3}=\frac{15}{9}$

Now, the number having the denominator $9$ and in between $6and15$ will be between $\frac{2}{3}$ and $\frac{5}{3}$.

Hence, the two rational numbers between $\frac{2}{3}$ and $\frac{5}{3}$ are $\frac{7}{9}and\frac{8}{9}$.