1/4+1/3+1/8
You asked:
Evaluate the expression: \(\frac{1}{4} + \frac{1}{3} + \frac{1}{8}\)
MathBot Answer:
\[ \frac{1}{4} + \frac{1}{3} + \frac{1}{8} = \frac{17}{24} = 0.708\overline{3} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{4}\), \(\frac{1}{3}\), and \(\frac{1}{8}\) is \(24\). \[ \begin{aligned} \frac{1}{4} + \frac{1}{3} + \frac{1}{8} &= \frac{1 \cdot 6}{4 \cdot 6} + \frac{1 \cdot 8}{3 \cdot 8} + \frac{1 \cdot 3}{8 \cdot 3} \\ &= \frac{6 + 8 + 3}{24} \\ &= \frac{17}{24} \end{aligned} \]