| ( | 3 | q | + | 1 | ) | ÷ | 2 | = | ( | 7 | + | q | ) | ÷ | 6 |
| 方程左边 = | 3 | q | × | 1 2 | + | 1 | × | 1 2 |
| = | 3 2 | q | + | 1 2 |
3 2 | q | + | 1 2 | = | ( | 7 | + | q | ) | ÷ | 6 |
| 方程右边 = | 7 | × | 1 6 | + | q | × | 1 6 |
| = | 7 6 | + | q | × | 1 6 |
3 2 | q | + | 1 2 | = | 7 6 | + | 1 6 | q |
3 2 | q | − | 1 6 | q | = | 7 6 | − | 1 2 |
4 3 | q | = | 7 6 | − | 1 2 |
4 3 | q | = | 2 3 |
| q | = | 2 3 | ÷ | 4 3 |
| = | 2 3 | × | 3 4 |
| = | 1 | × | 1 2 |
| q | = | 1 2 |
| q | = | 0.5 |