⅓ + ¹⁄₁₈ + ⅑ =
You asked:
Evaluate the expression: \(\frac{1}{3} + \frac{1}{18} + \frac{1}{9}\)
MathBot Answer:
\[ \frac{1}{3} + \frac{1}{18} + \frac{1}{9} = \frac{1}{2} = 0.5 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{3}\), \(\frac{1}{18}\), and \(\frac{1}{9}\) is \(18\). \[ \begin{aligned} \frac{1}{3} + \frac{1}{18} + \frac{1}{9} &= \frac{1 \cdot 6}{3 \cdot 6} + \frac{1 \cdot 1}{18 \cdot 1} + \frac{1 \cdot 2}{9 \cdot 2} \\ &= \frac{6 + 1 + 2}{18} \\ &= \frac{9}{18} \\&= \frac{1}{2} \end{aligned} \]