1/2+1/4+1/8
You asked:
Evaluate the expression: \(\frac{1}{2} + \frac{1}{4} + \frac{1}{8}\)
MathBot Answer:
\[ \frac{1}{2} + \frac{1}{4} + \frac{1}{8} = \frac{7}{8} = 0.875 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{2}\), \(\frac{1}{4}\), and \(\frac{1}{8}\) is \(8\). \[ \begin{aligned} \frac{1}{2} + \frac{1}{4} + \frac{1}{8} &= \frac{1 \cdot 4}{2 \cdot 4} + \frac{1 \cdot 2}{4 \cdot 2} + \frac{1 \cdot 1}{8 \cdot 1} \\ &= \frac{4 + 2 + 1}{8} \\ &= \frac{7}{8} \end{aligned} \]