Math Problem Solver

\[ 1.25 + \frac{-1}{3} + \frac{-7}{8} = \frac{1}{24} = 0.041\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{1}\), \(\frac{25}{100}\), \(\frac{-1}{3}\), and \(\frac{-7}{8}\) is \(600\). \[ \begin{aligned} 1.25 + \frac{-1}{3} + \frac{-7}{8} &= \frac{1 \cdot 600}{1 \cdot 600} + \frac{25 \cdot 6}{100 \cdot 6} + \frac{-1 \cdot 200}{3 \cdot 200} + \frac{-7 \cdot 75}{8 \cdot 75} \\ &= \frac{600 + 150 + -200 + -525}{600} \\ &= \frac{25}{600} \\&= \frac{1}{24} \end{aligned} \]