To evaluate the expression \( \frac{3mm}{-2p} \) given that \( m = \frac{1}{3} \) and \( p = 3 \), we first need to substitute the values of \( m \) and \( p \) into the expression.
-
Calculate \( mm \): \[ mm = m \times m = \left( \frac{1}{3} \right) \times \left( \frac{1}{3} \right) = \frac{1}{9} \]
-
Now substitute \( mm \) into the expression: \[ \frac{3mm}{-2p} = \frac{3 \times \frac{1}{9}}{-2 \times 3} \]
-
Calculate \( 3 \times \frac{1}{9} \): \[ 3 \times \frac{1}{9} = \frac{3}{9} = \frac{1}{3} \]
-
Calculate \( -2p \): \[ -2p = -2 \times 3 = -6 \]
-
Substitute these results back into the expression: \[ \frac{\frac{1}{3}}{-6} \]
-
Now, multiply the numerator by the reciprocal of the denominator: \[ \frac{1}{3} \times \frac{1}{-6} = \frac{1}{-18} = -\frac{1}{18} \]
-
Finally, convert this fraction to decimal form: \[ -\frac{1}{18} \approx -0.0556 \]
Thus, the answer in decimal form is approximately \(-0.0556\).