Math Problem Solver

$$7.5 + 5 + 3.5 + 7.5 + 12 + 5 + 2 + 1 + 2 - 10 = \frac{71}{2} = 35.5$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{7}{1}$, $\frac{5}{10}$, $\frac{5}{1}$, $\frac{3}{1}$, $\frac{5}{10}$, $\frac{7}{1}$, $\frac{5}{10}$, $\frac{12}{1}$, $\frac{5}{1}$, $\frac{2}{1}$, $\frac{1}{1}$, $\frac{2}{1}$, and $\frac{-10}{1}$ is $10$. $$\begin{aligned} 7.5 + 5 + 3.5 + 7.5 + 12 + 5 + 2 + 1 + 2 - 10 &= \frac{7 \cdot 10}{1 \cdot 10} + \frac{5 \cdot 1}{10 \cdot 1} + \frac{5 \cdot 10}{1 \cdot 10} + \frac{3 \cdot 10}{1 \cdot 10} + \frac{5 \cdot 1}{10 \cdot 1} + \frac{7 \cdot 10}{1 \cdot 10} + \frac{5 \cdot 1}{10 \cdot 1} + \frac{12 \cdot 10}{1 \cdot 10} + \frac{5 \cdot 10}{1 \cdot 10} + \frac{2 \cdot 10}{1 \cdot 10} + \frac{1 \cdot 10}{1 \cdot 10} + \frac{2 \cdot 10}{1 \cdot 10} + \frac{-10 \cdot 10}{1 \cdot 10} \\ &= \frac{70 + 5 + 50 + 30 + 5 + 70 + 5 + 120 + 50 + 20 + 10 + 20 + -100}{10} \\ &= \frac{355}{10} \\&= \frac{71}{2} \end{aligned}$$