| x | = | 100 | × | 101 10 | ÷ | ( | 1000 | + | 101 10 | ) |
| Multiply both sides of the equation by: | ( | 1000 | + | 101 10 | ) |
| x | ( | 1000 | + | 101 10 | ) | = | 100 | × | 101 10 |
| x | × | 1000 | + | x | × | 101 10 | = | 100 | × | 101 10 |
| x | × | 1000 | + | x | × | 101 10 | = | 1010 |
10101 10 | x | = | 1010 |
| x | = | 1010 | ÷ | 10101 10 |
| = | 1010 | × | 10 10101 |
| x | = | 10100 10101 |
| x | = | 0.999901 |