| ( | 1 | + | 99 100 | ) | ÷ | ( | 1 | + | 99 100 | − | 2 | × | 99 100 | x | ) | = | 50 |
| 方程两边同时乘以: | ( | 1 | + | 99 100 | − | 2 | × | 99 100 | x | ) |
| ( | 1 | + | 99 100 | ) | = | 50 | ( | 1 | + | 99 100 | − | 2 | × | 99 100 | x | ) |
| 1 | + | 99 100 | = | 50 | ( | 1 | + | 99 100 | − | 2 | × | 99 100 | x | ) |
| 1 | + | 99 100 | = | 50 | × | 1 | + | 50 | × | 99 100 | − | 50 | × | 2 | × | 99 100 | x |
| 1 | + | 99 100 | = | 50 | + | 99 2 | − | 99 | x |
199 100 | = | 199 2 | − | 99 | x |
| 99 | x | = | 199 2 | − | 199 100 |
| 99 | x | = | 9751 100 |
| x | = | 9751 100 | ÷ | 99 |
| = | 9751 100 | × | 1 99 |
| x | = | 9751 9900 |
| x | = | 0.984949 |