How many digits are in the repeating cycle of 17/27

Answer 1

To find the repeating cycle of a fraction, you need to divide the numerator by the denominator until you get a repeating remainder.

In this case, when you divide 17 by 27, the first remainder is 17. Then, you multiply the remainder by 10 to get 170, and divide this by 27. The remainder is 14. You repeat this process until you find a repeating remainder.

The cycle of remainders for 17/27 is: 17, 14, 17, 14, 17, 14, ...

Thus, the repeating cycle of 17/27 has 2 digits, which are 17 and 14.