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Convert 0.16̄ (where only the 6 repeats: 0.16666…) to p/q:
A1/6
B3/16
C16/99
D16/90
Answer & Solution
Correct answer: A. 1/6
Let x = 0.16666… One non-repeating digit, one repeating digit. Multiply by 10: 10x = 1.6666… Multiply by 100: 100x = 16.6666… Subtract: 90x = 15, so x = 15/90 = 1/6. Verify: 1/6 = 0.1666… ✓
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