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Which decimal equals the fraction 1/3?

A0.30 (exactly three-tenths)
B0.13 (a different value)
C0.333... with the 3 repeating
D0.333 (terminates after three digits)
Answer & Solution
Correct answer: C. 0.333... with the 3 repeating
Long division gives 1/3 = 0.333..., a non-terminating repeating decimal with the digit 3 repeating forever. The bar notation 0.\bar{3} captures it. Option D rounds and loses the repeating pattern. Option A is exactly 3/10, not 1/3.
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