How many digits are in the repeating cycle of 1727 ?(1 point)

1 answer

To find the repeating cycle of a fraction, we can use long division.

Let's divide 1 by 1727:

```
0.0005794571...
_________________
1727 | 1.00000000
- 8635
1365
1075
290
```

We can see that the decimal representation of 1/1727 starts repeating after the remainder becomes 290. Therefore, the repeating cycle of 1727 is 290.

The repeating cycle of 1727 has 3 digits: 2, 9, and 0.