| x | ÷ | ( | x | + | 9999 100 | ) | = | 1 100 |
| 方程两边同时乘以: | ( | x | + | 9999 100 | ) |
| x | = | 1 100 | ( | x | + | 9999 100 | ) |
| x | = | 1 100 | x | + | 1 100 | × | 9999 100 |
| x | = | 1 100 | x | + | 9999 10000 |
| x | − | 1 100 | x | = | 9999 10000 |
99 100 | x | = | 9999 10000 |
| x | = | 9999 10000 | ÷ | 99 100 |
| = | 9999 10000 | × | 100 99 |
| = | 101 100 | × | 1 |
| x | = | 101 100 |
| x | = | 1.01 |