| ( | 1 | ÷ | 10 | + | 1 | ÷ | 15 | ) | × | 2 | + | ( | 1 | ÷ | 12 | + | 11 | ÷ | 15 | ) | x | = | 1 |
| Left side of the equation = | 1 | ÷ | 10 | × | 2 | + | 1 | ÷ | 15 | × | 2 | + | ( | 1 | ÷ | 12 | + | 11 | ÷ | 15 | ) | x |
| = | 1 5 | + | 2 15 | + | ( | 1 | ÷ | 12 | + | 11 | ÷ | 15 | ) | x |
| = | 1 3 | + | ( | 1 | ÷ | 12 | + | 11 | ÷ | 15 | ) | x |
| = | 1 3 | + | 1 | ÷ | 12 | × | x | + | 11 | ÷ | 15 | × | x |
| = | 1 3 | + | 1 12 | x | + | 11 15 | x |
| = | 1 3 | + | 49 60 | x |
1 3 | + | 49 60 | x | = | 1 |
49 60 | x | = | 1 | − | 1 3 |
49 60 | x | = | 2 3 |
| x | = | 2 3 | ÷ | 49 60 |
| = | 2 3 | × | 60 49 |
| = | 2 | × | 20 49 |
| x | = | 40 49 |
| x | = | 0.816327 |