How many digits are I. The reapeting cycle of 17/27
To find the repeating cycle of a fraction, we need to perform long division.
When we divide 17 by 27, the first digit of the quotient is 0:
```
0.
27| 17
-
17
--
0
```
We then bring down a zero and divide 170 by 27. The resulting quotient is 6:
```
0.6
27| 170
-
162
---
80
---
...
```
We will continue this process until we obtain a repeating pattern.
Continuing the calculation, we bring down another zero and divide 800 by 27. The quotient is 29:
```
0.629
27| 1700
-
162
---
80
---
800
---
783
----
170
---
162
---
800
---
...
```
At this point, we see that the remainder 800 repeats. Therefore, the repeating cycle of 17/27 is 629 with a length of 3 digits.