Question

Express $0.\overline{17}$ in the form of fraction.

Answer 1

Step 1: In $0.\overline{17}$, no digit is repeating, Hence 17- 0 = 17

Step 2: No. of repeating digits is 2 hence we get two 9s

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{Step1}{Step2}$ = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{17}{99}$

Hence $0.\overline{17}$ = $\frac{17}{99}$