2/5+1/3+4/9
You asked:
Evaluate the expression: \(\frac{2}{5} + \frac{1}{3} + \frac{4}{9}\)
MathBot Answer:
\[ \frac{2}{5} + \frac{1}{3} + \frac{4}{9} = \frac{53}{45} = 1.1\overline{7} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{5}\), \(\frac{1}{3}\), and \(\frac{4}{9}\) is \(45\). \[ \begin{aligned} \frac{2}{5} + \frac{1}{3} + \frac{4}{9} &= \frac{2 \cdot 9}{5 \cdot 9} + \frac{1 \cdot 15}{3 \cdot 15} + \frac{4 \cdot 5}{9 \cdot 5} \\ &= \frac{18 + 15 + 20}{45} \\ &= \frac{53}{45} \end{aligned} \]