Evaluate the following repeating decimal
4.57
The repeated piece 57 has a length of 2
Equation 1: x = 4.57
Equation 2: 100x = 102 100x 4.57
100x = 100 x 4.57
100x = 457
Therefore, we have 100x - x = 457 - 4.57
99x = 457
99x | |
99 |
= |
457 |
99 |
x = | 457 |
99 |