Question

express the decimal number 0.3(3 bar) in form of A/B, where A and B are intergers and B is not equal to zero​

Answer 1

Answer and Step-by-step explanation:

`Let~``x`

`0.3333`

`Now,multiply~both~sides~by~10:`

`10x=3.3333-0.333`

`Which~leaves~us~with:`

`9x=3`

`Now,Divide:`

`(3)/(9)=(1)/(3)`

`Thus, 0.3(3 bar) = 1/3`

Answer 2

x = 0.3333...

(multiply both sides by 10)

10x = 3.3333...

10x - x = 3.333... - 0.333...

9x = 3

x = 3/9 = 1/3

therefore, 0.3(3 bar) = 1/3