Question

Express $1.27$ in the form of $\frac{p}{q}$.

Answer 1

Let $x=\mathrm{1.27272727...}$

$\Rightarrow 100x=\mathrm{127.2727....}$

we subtract $100x-x$ we will get,

$\Rightarrow 100x-x=127.2727-1.272727$

$\Rightarrow 99x=126.000$

$\therefore x=\frac{126}{99}=\frac{14}{11}$