Math Problem Solver

$$\frac{1}{7} + \frac{1}{14} + \frac{1}{28} = \frac{1}{4} = 0.25$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{1}{7}$, $\frac{1}{14}$, and $\frac{1}{28}$ is $28$. $$\begin{aligned} \frac{1}{7} + \frac{1}{14} + \frac{1}{28} &= \frac{1 \cdot 4}{7 \cdot 4} + \frac{1 \cdot 2}{14 \cdot 2} + \frac{1 \cdot 1}{28 \cdot 1} \\ &= \frac{4 + 2 + 1}{28} \\ &= \frac{7}{28} \\&= \frac{1}{4} \end{aligned}$$