To evaluate the expression \(\frac{3mn}{-2p}\) with the given values \(m = \frac{1}{3}\), \(n = -3\), and \(p = 3\), we can follow these steps:
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Substitute the values of \(m\), \(n\), and \(p\) into the expression: \[ \frac{3 \left(\frac{1}{3}\right)(-3)}{-2(3)} \]
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Simplify the numerator: \[ 3 \left(\frac{1}{3}\right)(-3) = 3 \cdot \frac{1}{3} \cdot -3 = 1 \cdot -3 = -3 \]
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Simplify the denominator: \[ -2(3) = -6 \]
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Now we have the fraction: \[ \frac{-3}{-6} \]
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Simplifying \(\frac{-3}{-6}\): \[ \frac{-3}{-6} = \frac{3}{6} = \frac{1}{2} \]
Thus, the value of the expression \(\frac{3mn}{-2p}\) is \(\frac{1}{2}\).