Math Problem Solver

\[ \frac{3}{5} + \frac{8}{3} + \frac{7}{4} - 1 = \frac{241}{60} = 4.01\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{5}\), \(\frac{8}{3}\), \(\frac{7}{4}\), and \(\frac{-1}{1}\) is \(60\). \[ \begin{aligned} \frac{3}{5} + \frac{8}{3} + \frac{7}{4} - 1 &= \frac{3 \cdot 12}{5 \cdot 12} + \frac{8 \cdot 20}{3 \cdot 20} + \frac{7 \cdot 15}{4 \cdot 15} + \frac{-1 \cdot 60}{1 \cdot 60} \\ &= \frac{36 + 160 + 105 + -60}{60} \\ &= \frac{241}{60} \end{aligned} \]