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

$\frac{5}{13} = 0.\dot{3}8461\dot{5}$, $\frac{8}{13} = 0.\dot{6}1538\dot{4}$; $0.\dot{9} = 1$

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