Math Problem Solver

$$3.45 + 2.6345 + 2.6 = \frac{17369}{2000} = 8.6845$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{3}{1}$, $\frac{45}{100}$, $\frac{2}{1}$, $\frac{6345}{10000}$, $\frac{2}{1}$, and $\frac{6}{10}$ is $10000$. $$\begin{aligned} 3.45 + 2.6345 + 2.6 &= \frac{3 \cdot 10000}{1 \cdot 10000} + \frac{45 \cdot 100}{100 \cdot 100} + \frac{2 \cdot 10000}{1 \cdot 10000} + \frac{6345 \cdot 1}{10000 \cdot 1} + \frac{2 \cdot 10000}{1 \cdot 10000} + \frac{6 \cdot 1000}{10 \cdot 1000} \\ &= \frac{30000 + 4500 + 20000 + 6345 + 20000 + 6000}{10000} \\ &= \frac{86845}{10000} \\&= \frac{17369}{2000} \end{aligned}$$