​ Express 5.123 in p/q form where p and q are co-primes. ​

Question

Express \(5.12\overline3\) in p/q form where p and q are co-primes.

Answer 1

Let \(5.12\overline3\) 

=> x = 5.12333 ……………. (1) 

Here periodicity is 1. 

So, we have to multiply (1) with 10 on both sides.

=> 10 × x = 10 × 5.12333 ………………. 

10 x = 51.2333. …………… (2) 

(2) – (1)