How many digits are in the repeating cycle of 17/27? (1 point)

Answer 1

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

When we divide 17 by 27 using long division, we get:

___________
27| 17.0000000000000000000000
- 1.620000000000000000000 (27 goes into 17 zero times)
___________
50.000000000000000000000
-47.000000000000000000000 (27 goes into 50 once)
___________
30.000000000000000000000
- 27.000000000000000000000 (27 goes into 30 once)
___________
30.000000000000000000000
- 27.000000000000000000000 (27 goes into 30 once)
___________
30000000000000000000

We notice that the remainder 3 repeats itself after dividing 17 by 27.

Therefore, the repeating cycle of the fraction 17/27 is 3.

Since the repeating cycle has one digit, the answer is 1.