Question

What is .825252525 repeating as a fraction

Answer 1

Let d = 0.825252525..., then
$10d = 8.25252525...=8\frac{25}{10^2-1}=8\frac{25}{99}$

Therefore,
$d=\frac{8}{10}+\frac{25}{990}=\frac{8(99)+25}{990}=\frac{817}{990}$