Use a calculator to write down the recurring decimals of $\frac{A}{13}$, where $A=5$, $6$, \(7

Question

Use a calculator to write down the recurring decimals of $\frac{A}{13}$, where $A=5$, $6$, $7$ and $8$. Hence, or otherwise, show that $0.\dot{9}=1$

Accepted Answer

(i) $5/13=0.\overline{384615}$, $6/13=0.\overline{461538}$, $7/13=0.\overline{538461}$, $8/13=0.\overline{615384}$. (ii) $0.\overline9=1$.

Recurring Decimals and Showing that \(0.\dot{9}=1\)