Question

Express the following missed recurring decimals in the format $\frac{p}{q}$
$0.12\overline{3}$

Answer 1

$a=0.12\overline{3}$

$100a=12.\overline{3}$............(1)

$1000a=123.\overline{3}$...........(2)

Substracting Equation(1) from Equation(2), we get

$900a=111$

$\Rightarrow a=\frac{111}{900}$