29) Evaluate \( \frac{1}{2} a b c d \) if \( a=-2.5, b=-\frac{5}{6}, c=-1 \frac{1}{5} \), and \( d=1 / 3 \). Write your answer as a fraction in simplest form.

To evaluate \( \frac{1}{2} a b c d \), we first substitute the values of \( a, b, c, \) and \( d \). - \( a = -2.5 \) can be expressed as \( -\frac{25}{10} = -\frac{5}{2} \). - \( b = -\frac{5}{6} \). - \( c = -1 \frac{1}{5} = -\frac{6}{5} \) (since \( 1 \frac{1}{5} = 1 + \frac{1}{5} = \frac{5}{5} + \frac{1}{5} = \frac{6}{5} \)). - \( d = \frac{1}{3} \). Now substituting these values into the expression: \[ \frac{1}{2} \left(-\frac{5}{2}\right) \left(-\frac{5}{6}\right) \left(-\frac{6}{5}\right) \left(\frac{1}{3}\right) \] Next, we can compute the multiplication of the four fractions step-by-step. First, multiplying the first two fractions: \[ -\frac{5}{2} \cdot -\frac{5}{6} = \frac{25}{12} \] Now, include the \( c \): \[ \frac{25}{12} \cdot -\frac{6}{5} = -\frac{150}{60} = -\frac{5}{2} \quad (\text{simplifying the fraction}) \] Finally, multiply this result by \( d \): \[ -\frac{5}{2} \cdot \frac{1}{3} = -\frac{5}{6} \] Finally, we multiply this result by \( \frac{1}{2} \): \[ \frac{1}{2} \cdot -\frac{5}{6} = -\frac{5}{12} \] Thus, the final answer is: \[ \frac{1}{2} a b c d = -\frac{5}{12} \]