Question

Express 32.12353535 (bar on 35) in the form of p/q.

Answer 1

Let x = 32.12353535...(1)
Periodicity = 2 Multiply both sides by 100 => 100x = 3212.353535......(2) Now subtract (1) from (2) equation
=> (100x = 3212.353535...) - ( x = 32.12353535...)
=> 99x = 3018
=> x = 3018/99
=> x = 1006/33