Answer
39/11
↓Steps Explained:↓
Evaluate the following repeating decimal
3.54
Evaluate the repeated piece
The repeated piece 54 has a length of 2
Therefore, we setup two equations
Equation 1: x = 3.54
Equation 2: 100x = 102 100x 3.54
100x = 100 x 3.54
100x = 354
Subtract equations
Therefore, we have 100x - x = 354.54 - 3.54
99x = 351
Divide each side by 99
| 99x | |
| 99 |
| = |
| 351 |
| 99 |
| x = | 351 |
| 99 |
Simplify using a GCF of 9
| 351/9 | |
| 99/9 |
Final Answer
39/11Related Calculators: Decompose Fraction | Percentage-Decimal-Fraction Relations | Fraction Cancellation Property