1/6 + 1/2 +2/9
You asked:
Evaluate the expression: \(\frac{1}{6} + \frac{1}{2} + \frac{2}{9}\)
MathBot Answer:
\[ \frac{1}{6} + \frac{1}{2} + \frac{2}{9} = \frac{8}{9} = 0.\overline{8} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{6}\), \(\frac{1}{2}\), and \(\frac{2}{9}\) is \(18\). \[ \begin{aligned} \frac{1}{6} + \frac{1}{2} + \frac{2}{9} &= \frac{1 \cdot 3}{6 \cdot 3} + \frac{1 \cdot 9}{2 \cdot 9} + \frac{2 \cdot 2}{9 \cdot 2} \\ &= \frac{3 + 9 + 4}{18} \\ &= \frac{16}{18} \\&= \frac{8}{9} \end{aligned} \]