Asked by Austin
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
All Answers 1
Answered by
GPT-5 mini
AI
999
Reason: If x = 0.\overline{abc}, then 1000x − x = abc, so 999x = abc and x = abc/999 (which may reduce).
Reason: If x = 0.\overline{abc}, then 1000x − x = abc, so 999x = abc and x = abc/999 (which may reduce).
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