3 5 | ÷ | 99 100 | = | ( | 1 | + | 1 1000000 | x | ) | ÷ | ( | 1 | + | 49 | x | ) |
方程两边同时乘以: | ( | 1 | + | 49 | x | ) |
3 5 | ÷ | 99 100 | × | ( | 1 | + | 49 | x | ) | = | ( | 1 | + | 1 1000000 | x | ) |
3 5 | ÷ | 99 100 | × | 1 | + | 3 5 | ÷ | 99 100 | × | 49 | x | = | ( | 1 | + | 1 1000000 | x | ) |
3 5 | ÷ | 99 100 | × | 1 | + | 3 5 | ÷ | 99 100 | × | 49 | x | = | 1 | + | 1 1000000 | x |
20 33 | + | 980 33 | x | = | 1 | + | 1 1000000 | x |
980 33 | x | − | 1 1000000 | x | = | 1 | − | 20 33 |
979999967 33000000 | x | = | 1 | − | 20 33 |
979999967 33000000 | x | = | 13 33 |
x | = | 13 33 | ÷ | 979999967 33000000 |
= | 13 33 | × | 33000000 979999967 |
= | 13 | × | 1000000 979999967 |
x | = | 13000000 979999967 |
x | = | 0.013265 |