| ( | 2 | ÷ | 3 | ) | ÷ | X | = | 1 4 | ÷ | ( | 5 | ÷ | 8 | ) |
| Multiply both sides of the equation by: | X | , | ( | 5 | ÷ | 8 | ) |
| ( | 2 | ÷ | 3 | ) | ( | 5 | ÷ | 8 | ) | = | 1 4 | X |
| 2 | ÷ | 3 | × | ( | 5 | ÷ | 8 | ) | = | 1 4 | X |
2 3 | ( | 5 | ÷ | 8 | ) | = | 1 4 | X |
2 3 | × | 5 | ÷ | 8 | = | 1 4 | X |
5 12 | = | 1 4 | X |
1 4 | X | = | 5 12 |
| X | = | 5 12 | ÷ | 1 4 |
| = | 5 12 | × | 4 |
| = | 5 3 | × | 1 |
| X | = | 5 3 |
| X | = | 1.666667 |