1/4+1/3+1/9
You asked:
Evaluate the expression: \(\frac{1}{4} + \frac{1}{3} + \frac{1}{9}\)
MathBot Answer:
\[ \frac{1}{4} + \frac{1}{3} + \frac{1}{9} = \frac{25}{36} = 0.69\overline{4} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{4}\), \(\frac{1}{3}\), and \(\frac{1}{9}\) is \(36\). \[ \begin{aligned} \frac{1}{4} + \frac{1}{3} + \frac{1}{9} &= \frac{1 \cdot 9}{4 \cdot 9} + \frac{1 \cdot 12}{3 \cdot 12} + \frac{1 \cdot 4}{9 \cdot 4} \\ &= \frac{9 + 12 + 4}{36} \\ &= \frac{25}{36} \end{aligned} \]