Question

Express 0.4 bar as a rational number simplest form

Answer 1

Let x be 0.4 bar 

x = 0.4 bar ….(1) 

Multiplying both sides by 10, we get 

10x = 4.4 bar ….(2) 

Subtracting (1) from (2), we get 

10x – x = 4.4 bar - 0.4 bar

9x = 4

x = 4/9

Thus, simplest form of 0.4 bar as a rational number is 4/9.