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2 votes
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​

2 Answers

4 votes

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

User MyItchyChin
by
8.4k points
4 votes

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

User Gabi Davar
by
8.7k points

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