Question

Express the following in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q\ne 0$

$\mathrm{0.00323232....}$ = $\frac{m}{2475}$, then what is the value of $m$?

Answer 1

$y=00\overline{32}$.....(1)
$100y=100\times 0.00\overline{32}$....(2)
$10000y=10000\times 0.00\overline{32}$....(3)
Subtracting (2) from (3)
$10000y-100y=$ $32.\overline{32}$ - $.\overline{32}$
$9900y=32$
$y=\frac{8}{2475}$

Hence the value of $m=8$.