How many digits are in the repeating cycle of 1727

Question

?(1 point)

Answer 1

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.