Question

What's 3.25 repeating as a fraction?

Answer 1

The answer is 322/99.
Let x = 3.2525... (repeating). Multiply both sides by 100 because the rependent consists of 2 digits (if rependent consisted of 3 digits, both sides would be multiplied by 10^3 = 1000). 100x = 100 * 3.2525...; 100x = 325.2525...; Now, let's remove the rependent by subtracting x from 100x: 100x - x = 99x; 99x = 325.2525... - 3.2525...; So we have the whole number now: 99x = 322; Thus x = 322/99.