​ Express 5.25 in from where q ≠ 0, p and q are co primes. ​

Question

Express \(5.\overline{25}\) in from where q ≠ 0, p and q are co primes.

Answer 1

Let x = \(5.\overline{25}\)

x – 5.25 25 25 ……………… (1) 

Multiply by 100 to (1) 

100 x = 525.25 25 25 ………….. (2) 

Subtract (1) from (2)