Question

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

99
99

999
999

100
100

1,000
1,000
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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, the repeating decimal 0.abcabcabc... can be expressed as a fraction \(\frac{abc}{999}\), where \(abc\) represents the three-digit repeating part.

So, the correct answer is:

**999**