+23252 One way to find the fraction that equals 0.77666666666...
Let x = 0.77666666666...
To handle the 0.77, multiply this equation by 100: (because there are two places)
---> 100x = 77.66666666...
To handle the repeating 6s, multiply this equation by 10: (because there is one place that repeats)
---> 1000x = 776.666666...
Subtract these equations: 1000x = 776.6666666...
- 100x = 77.6666666...
To get: 900x = 699
Solve this for x: x = 699 / 900 (this can be reduced)
