1/3+1/6+1/18
You asked:
Evaluate the expression: \(\frac{1}{3} + \frac{1}{6} + \frac{1}{18}\)
MathBot Answer:
\[ \frac{1}{3} + \frac{1}{6} + \frac{1}{18} = \frac{5}{9} = 0.\overline{5} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{3}\), \(\frac{1}{6}\), and \(\frac{1}{18}\) is \(18\). \[ \begin{aligned} \frac{1}{3} + \frac{1}{6} + \frac{1}{18} &= \frac{1 \cdot 6}{3 \cdot 6} + \frac{1 \cdot 3}{6 \cdot 3} + \frac{1 \cdot 1}{18 \cdot 1} \\ &= \frac{6 + 3 + 1}{18} \\ &= \frac{10}{18} \\&= \frac{5}{9} \end{aligned} \]