Math Problem Solver

\[ 30 - \frac{167}{2} + 8 = - \frac{91}{2} = -45.5 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{30}{1}\), \(\frac{-167}{2}\), and \(\frac{8}{1}\) is \(2\). \[ \begin{aligned} 30 - \frac{167}{2} + 8 &= \frac{30 \cdot 2}{1 \cdot 2} + \frac{-167 \cdot 1}{2 \cdot 1} + \frac{8 \cdot 2}{1 \cdot 2} \\ &= \frac{60 + -167 + 16}{2} \\ &= \frac{-91}{2} \end{aligned} \]