0.3454545…..=_____________ A. 345/1000 B. 350/995 C. 355/900

0-3454545-a-345-1000-b-350-995-c-355-900

0.3454545…..=_____________

A. 345/1000

B. 350/995

C. 355/900

D. 342/990

I got this question in exam.

My question is based upon Real Numbers and their Decimal Expansions topic in section Number Systems of Mathematics – Class 9

Right answer is D. 342/990

To explain I would say: Let 0.3454545…=x

Then, 100x=34.54545…..

100x=34.2 + 0.3454545…

100x=34.2 + x

99x=34.2

Then, x=34.2/99

x=342/990.