| 1 | ÷ | X | = | 1 | ÷ | 13 4 | + | 1 | ÷ | 31 10 | + | 1 | ÷ | 199 100 |
| 方程两边同时乘以: | X |
| 1 | = | 1 | ÷ | 13 4 | × | X | + | 1 | ÷ | 31 10 | × | X | + | 1 | ÷ | 199 100 | × | X |
| - | 1 | ÷ | 13 4 | × | X | − | 1 | ÷ | 31 10 | × | X | − | 1 | ÷ | 199 100 | × | X | = | - | 1 |
| - | 4 13 | X | − | 10 31 | X | − | 100 199 | X | = | - | 1 |
| - | 90846 80197 | X | = | - | 1 |
| 1 | = | 90846 80197 | X |
90846 80197 | X | = | 1 |
| X | = | 1 | ÷ | 90846 80197 |
| = | 1 | × | 80197 90846 |
| X | = | 80197 90846 |
| X | = | 0.88278 |