Question

Express $0.2\overline{51}$ in the form of fraction.

Answer 1

Step 1: In $0.2\overline{51}$, 2 is not repeating, Hence 251- 2 = 249

Step 2: No of repeating digits is 2 hence we get two 9s and the no of non repeating digits is 1 hence we get one 0.

<!--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;}--> $\frac{249}{990}$

Hence $0.2\overline{51}$ = $\frac{83}{330}$