Math Problem Solver

$$0.75 + 1.3 - 0.4075 + 1.3 - 0.4 = \frac{1017}{400} = 2.5425$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{75}{100}$, $\frac{1}{1}$, $\frac{3}{10}$, $\frac{-4075}{10000}$, $\frac{1}{1}$, $\frac{3}{10}$, and $\frac{-4}{10}$ is $10000$. $$\begin{aligned} 0.75 + 1.3 - 0.4075 + 1.3 - 0.4 &= \frac{75 \cdot 100}{100 \cdot 100} + \frac{1 \cdot 10000}{1 \cdot 10000} + \frac{3 \cdot 1000}{10 \cdot 1000} + \frac{-4075 \cdot 1}{10000 \cdot 1} + \frac{1 \cdot 10000}{1 \cdot 10000} + \frac{3 \cdot 1000}{10 \cdot 1000} + \frac{-4 \cdot 1000}{10 \cdot 1000} \\ &= \frac{7500 + 10000 + 3000 + -4075 + 10000 + 3000 + -4000}{10000} \\ &= \frac{25425}{10000} \\&= \frac{1017}{400} \end{aligned}$$