Question

Express in the form of $\frac{p}{q},1.4\overline{73}$, where $pϵz,qϵN$

Answer 1

$\begin{array}{c}\Rightarrow x=\mathrm{1.4737373.....}\\ \Rightarrow 1000x=\mathrm{1473.73.........}\to \left(i\right)\\ \Rightarrow 100x=\mathrm{14.7373...........}\to \left(ii\right)\\ \Rightarrow substractequation\left(ii\right)from\left(i\right)\\ \Rightarrow 990x=1459.0000\\ x=\frac{1459}{990}\end{array}$