1/2+5/6+8/9
You asked:
Evaluate the expression: \(\frac{1}{2} + \frac{5}{6} + \frac{8}{9}\)
MathBot Answer:
\[ \frac{1}{2} + \frac{5}{6} + \frac{8}{9} = \frac{20}{9} = 2.\overline{2} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{2}\), \(\frac{5}{6}\), and \(\frac{8}{9}\) is \(18\). \[ \begin{aligned} \frac{1}{2} + \frac{5}{6} + \frac{8}{9} &= \frac{1 \cdot 9}{2 \cdot 9} + \frac{5 \cdot 3}{6 \cdot 3} + \frac{8 \cdot 2}{9 \cdot 2} \\ &= \frac{9 + 15 + 16}{18} \\ &= \frac{40}{18} \\&= \frac{20}{9} \end{aligned} \]