Question

How do you convert 0.735 (735 repeating) to a fraction?

Answer 1

`0.bar(735) = 735/999 = 245/333`

Explanation:

`(1000-1)(0.bar(735)) = 735.bar(735) - 0.bar(735) = 735`

So:

`0.bar(735) = 735/(1000-1) = 735/999 = (color(red)(cancel(color(black)(3)))*245)/(color(red)(cancel(color(black)(3)))*333) = 245/333`