Answer:
19/33
Step-by-step explanation:
57 repeating = 0.57
1. x = 0.57
2. mutiply each side by 10² = 100
100x = 57.57...
3. subtract
x = 0.57 from 100x = 57.57...
and get 99x = 57.
4. solve for x
x = 57/99
5. find the GCF of 57 and 99
57 ÷ 3 = 19
---- --- ----
99 ÷ 3 = 33
6. x = 19/33