To determine which option could represent \(-4\) as a rational number, let's evaluate each of the given responses.
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144√3: This is not a rational number, and it is significantly larger than -4.
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Start Fraction square root of 144 over 3 End Fraction:
- The square root of 144 is 12.
- Therefore, this expression simplifies to \( \frac{12}{3} = 4 \), which is not -4.
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14: This is simply 14, which is not -4.
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Start Fraction 1 over 4 End Fraction: This simplifies to 0.25, which is also not -4.
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−246: This is a negative number but does not equal -4.
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Start Fraction negative 24 over 6 End Fraction:
- This simplifies to \( -\frac{24}{6} = -4\).
Based on this evaluation, the correct option that represents \(-4\) as a rational number is Start Fraction negative 24 over 6 End Fraction.