22/3+49/9-40/9
You asked:
Evaluate the expression: \(\frac{22}{3} + \frac{49}{9} - \frac{40}{9}\)
MathBot Answer:
\[ \frac{22}{3} + \frac{49}{9} - \frac{40}{9} = \frac{25}{3} = 8.\overline{3} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{22}{3}\), \(\frac{49}{9}\), and \(\frac{-40}{9}\) is \(9\). \[ \begin{aligned} \frac{22}{3} + \frac{49}{9} - \frac{40}{9} &= \frac{22 \cdot 3}{3 \cdot 3} + \frac{49 \cdot 1}{9 \cdot 1} + \frac{-40 \cdot 1}{9 \cdot 1} \\ &= \frac{66 + 49 + -40}{9} \\ &= \frac{75}{9} \\&= \frac{25}{3} \end{aligned} \]