Express 4.050505... as a fraction

Answer 1

let x = 4.050505...
multiply by 100, (since the length of the repeating loop is 2 , had it been 4, I would have multiplied by 10000)
100x = 405.0505...
subtract:
99x = 401.000.. = 401
x = 401/99

Answer 2

it is 2 digit repeating ... so multiply by 100 ... then subtract ... and divide

n = 4.050505... , 100 n = 405.050505...

99 n = 401