If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with what denominator? (1 point)

Question

Responses

999
999

100
100

99
99

1,000

Answer 1

If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with a denominator of 999.

For example, if you have the decimal 0.abcabcabc..., the rational expression would be represented as \( \frac{abc}{999} \). Therefore, the correct response is 999.