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:

$Let~``x"~be:$

$0.3333$

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

$10x=3.3333-0.333$

$Which~leaves~us~with:$

$9x=3$

$Now,Divide:$

$\frac{3}{9}=\frac{1}{3}$

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

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