1/3+1/5+1/9
You asked:
Evaluate the expression: \(\frac{1}{3} + \frac{1}{5} + \frac{1}{9}\)
MathBot Answer:
\[ \frac{1}{3} + \frac{1}{5} + \frac{1}{9} = \frac{29}{45} = 0.6\overline{4} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{3}\), \(\frac{1}{5}\), and \(\frac{1}{9}\) is \(45\). \[ \begin{aligned} \frac{1}{3} + \frac{1}{5} + \frac{1}{9} &= \frac{1 \cdot 15}{3 \cdot 15} + \frac{1 \cdot 9}{5 \cdot 9} + \frac{1 \cdot 5}{9 \cdot 5} \\ &= \frac{15 + 9 + 5}{45} \\ &= \frac{29}{45} \end{aligned} \]