1/4+1/9+1/12
You asked:
Evaluate the expression: \(\frac{1}{4} + \frac{1}{9} + \frac{1}{12}\)
MathBot Answer:
\[ \frac{1}{4} + \frac{1}{9} + \frac{1}{12} = \frac{4}{9} = 0.\overline{4} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{4}\), \(\frac{1}{9}\), and \(\frac{1}{12}\) is \(36\). \[ \begin{aligned} \frac{1}{4} + \frac{1}{9} + \frac{1}{12} &= \frac{1 \cdot 9}{4 \cdot 9} + \frac{1 \cdot 4}{9 \cdot 4} + \frac{1 \cdot 3}{12 \cdot 3} \\ &= \frac{9 + 4 + 3}{36} \\ &= \frac{16}{36} \\&= \frac{4}{9} \end{aligned} \]