Math Problem Solver

\[ \frac{1}{4} + \frac{1}{10} + \frac{1}{16} = \frac{33}{80} = 0.4125 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{4}\), \(\frac{1}{10}\), and \(\frac{1}{16}\) is \(80\). \[ \begin{aligned} \frac{1}{4} + \frac{1}{10} + \frac{1}{16} &= \frac{1 \cdot 20}{4 \cdot 20} + \frac{1 \cdot 8}{10 \cdot 8} + \frac{1 \cdot 5}{16 \cdot 5} \\ &= \frac{20 + 8 + 5}{80} \\ &= \frac{33}{80} \end{aligned} \]