4/6 + 5/3 + 8/9
You asked:
Evaluate the expression: \(\frac{4}{6} + \frac{5}{3} + \frac{8}{9}\)
MathBot Answer:
\[ \frac{4}{6} + \frac{5}{3} + \frac{8}{9} = \frac{29}{9} = 3.\overline{2} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{6}\), \(\frac{5}{3}\), and \(\frac{8}{9}\) is \(18\). \[ \begin{aligned} \frac{4}{6} + \frac{5}{3} + \frac{8}{9} &= \frac{4 \cdot 3}{6 \cdot 3} + \frac{5 \cdot 6}{3 \cdot 6} + \frac{8 \cdot 2}{9 \cdot 2} \\ &= \frac{12 + 30 + 16}{18} \\ &= \frac{58}{18} \\&= \frac{29}{9} \end{aligned} \]