Convert the recurring decimal 0. \overset{\overline}{35} to fraction

Foundation

Mathematics Foundation

Recurring Decimal Number

Rational Numbers

Question

Convert the recurring decimal

0. \overline{35}

to fraction

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Let

x = 0. \overline{35}

100 x = 35. \overline{35}

100 x = 35 + 0. \overline{35}

100 x = 35 + x

99 x = 35

x = \frac{35}{99}