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When \(\frac{1}{4}\) is written as a rational number with denominator 12, then the numerator would be

  • A.8
  • B.-8
  • C.3
  • D.-3

Answer: C

The numerator is 3.

To change the denominator from 4 to 12, multiply top and bottom by 3:

\[ \begin{aligned} \frac{1}{4} &= \frac{1 \times 3}{4 \times 3} \\ &= \frac{3}{12} \end{aligned} \]

8 is what you get by subtracting 4 from 12 instead of dividing, and the negative options would change the sign of a positive fraction, which multiplying top and bottom by the same number never does.

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