Question

Express $3.3\overline{51}$ in the form of fraction.

Answer 1

$3.3\overline{51}$ = 3 + $0.3\overline{51}$

Step 1: In $0.3\overline{51}$, 3 is not repeating, Hence 351- 3 = 348

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;}--> $\frac{348}{990}$

Hence $0.3\overline{51}$ = $\frac{116}{330}$
$3.3\overline{51}$ = 3 + $\frac{116}{330}$ = 3$\frac{116}{330}$