Let's evaluate the expression \( \frac{5}{12} \times \sqrt{16} \).
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Calculate \( \sqrt{16} \): \[ \sqrt{16} = 4 \]
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Now substitute back into the expression: \[ \frac{5}{12} \times 4 \]
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Multiply \( 4 \) by \( \frac{5}{12} \): \[ \frac{5 \times 4}{12} = \frac{20}{12} \]
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Simplify \( \frac{20}{12} \): \[ \frac{20}{12} = \frac{5}{3} \quad (\text{after dividing numerator and denominator by } 4) \]
Since \( \frac{5}{3} \) is a rational number, the answer is:
C: Rational because both numbers are rational.