Question 26568
Express 0.9393... as a fraction in its simplest form. 

Let n = 0.9393... Multiply by 100 (because there 2 repeating digits)
100n = 93.9393... Subtract n from 100n.
100n - n = 99n = 93.9393... - 0.9393... = 93
99n = 93 Divide both sides by 99.
{{{n = 93/99}}} But n = 0.9393..., so:
{{{0.9393 = 93/99}}} Simplify.
{{{0.9393 = 31/33}}}