Unfortunately, you have not shared any of the fractions in question. 412, 48, 42 and 410 are all "integer" or "whole" numbers. Please share the entire question.
Example: 48 2/3 can be re-written with a repeating decimal:
48 2/3 = 48.666666666 .....
First, subtract both sides by 25:
x^2 - 6x = -25
Because we're completing the square, we subtract both sides by 9:
x^2 - 6x - 9 = -34
(x - 3) = 5.831 (about)
x = 8.831