Math Problem Solver

\[ \frac{1}{4} + \frac{1}{8} + \frac{1}{16} = \frac{7}{16} = 0.4375 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{4}\), \(\frac{1}{8}\), and \(\frac{1}{16}\) is \(16\). \[ \begin{aligned} \frac{1}{4} + \frac{1}{8} + \frac{1}{16} &= \frac{1 \cdot 4}{4 \cdot 4} + \frac{1 \cdot 2}{8 \cdot 2} + \frac{1 \cdot 1}{16 \cdot 1} \\ &= \frac{4 + 2 + 1}{16} \\ &= \frac{7}{16} \end{aligned} \]