Question

Write a repeating decimal that is between $\frac{9}{7}$ and $\frac{10}{7}$ . Justify your answer.

Answer 1

Given number: $\frac{9}{7}$ and $\frac{10}{7}$.

Decimal form of $\frac{9}{7}=1.2857\dots$
Decimal form of $\frac{10}{7}=1.4285\dots$

Since, repeating decimal that is between$\frac{9}{7}$ and $\frac{10}{7}$ is$1.333\dots$.

Hence, repeating decimal that is between$\frac{9}{7}$ and $\frac{10}{7}$ is$1.333\dots$.