Question

Express 0.23 bar as a rational number in simplest form.

Answer 1

Let x be 0.23 bar 

x = 0.23 bar ….(1) 

Multiplying both sides by 100, we get 

100x = 23.23 bar ….(2) 

Subtracting (1) from (2), we get 

100x – x = 23.23 bar - 0.23 bar 

⇒99x = 23 

⇒x = 23/99 

Thus, simplest form of 0.23 bar as a rational number is 23/99.