How many digits are in the repeating cycle of 1727
?(1 point)
To find the repeating cycle of a decimal, we can use long division.
Let's divide 1727 by 7:
```
246
-------
7 | 1727
```
We find that the quotient is 246.
Now, let's divide the remainder, which is 11, by 7:
```
246
-------
7 | 11
```
We find that the quotient is 1.
The remainder after dividing 11 by 7 is 4.
Therefore, the repeating cycle of \(\frac{1727}{7}\) is 2464, which has 4 digits.
So, the answer is 4.