: 0 . \overline { 3 } + 0.4 \overline { 7 } – InterviewSolution

1.

: 0 . \overline { 3 } + 0.4 \overline { 7 }

Answer»

0.3 barTake x = 0.3 bar

Hence, x = 0.33333333…. - eqn (a)

Now, 10x = 3.33333333….. -eqn (b)

Hence, taking eqn(b) - eqn(a); we have

9x = 3

Hence, x = 1/3.

and similarly 0.47 bar is 47/99hence 1/3+47/99=80/99

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