Express `0.2overline25` as a rational number. – InterviewSolution

InterviewSolution

1.	Express `0.2overline25` as a rational number.
Answer» In `0.overline225` , periodicity `=2`. So, multiply the decimal fraction by 100 an subtract the original number form the proudct. let `0.overline225 =x` . Then , `x=0.2252525......` and `100x=22.525252......` Subtracing x from `100x`, we get `100x =22.5252...` `(-)x=2252.....` `99x=22.3` `x=(22.3)/(99)=(223)/(990)`.

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