Question

Find three rational numbers between $\frac{3}{5}and\frac{7}{8}$.

Answer 1

Step 1: Finding the equivalent fraction of rational numbers$\frac{3}{5}and\frac{7}{8}$:

$$\begin{gathered} \frac{3}{5}=\frac{3\times 8}{5\times 8}=\frac{24}{40}(LCMof5and8is8) \\ \frac{7}{8}=\frac{7\times 5}{8\times 5}=\frac{35}{40} \end{gathered}$$

Step 2: Finding any three rational numbers between $\frac{24}{40}and\frac{35}{40}$:

$\frac{27}{40},\frac{29}{40}and\frac{31}{40}$

Hence, any three rational numbers between $\frac{3}{5}and\frac{7}{8}$ are $\frac{27}{40},\frac{29}{40}and\frac{31}{40}$.