Question

How do you convert 0.1624 (24 being repeated) to a fraction?

Answer 1

`0.16bar(24) = 134/825`

Explanation:

Multiply by `10000-100` to get an integer:

`(10000-100)*0.16bar(24) = 1624.bar(24) - 16.bar(24) = 1608`

Then divide both sides by `(10000-100)` as follows:

`0.16bar(24) = 1608/(10000-100) = 1608/9900 = (color(red)(cancel(color(black)(12)))*134)/(color(red)(cancel(color(black)(12)))*825) = 134/825`