Question

Convert 12/25 to base 5 ​

Answer 1

Expand the given fraction as

`(12)/(25) = (10)/(25) + \frac2{25} = \frac25 + \frac2{5^2}`

Then the base 5 representation of 12/25 is

`(12)/(25) \equiv \boxed{0.22_5}`