1/6 + 1 ½
You asked:
Evaluate the expression: \(\frac{1}{6} + 1 \cdot \frac{1}{2}\)
MathBot Answer:
\[ \frac{1}{6} + 1 \cdot \frac{1}{2} = \frac{2}{3} = 0.\overline{6} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{6}\) and \(\frac{1}{2}\) is \(6\). \[ \begin{aligned} \frac{1}{6} + 1 \cdot \frac{1}{2} &= \frac{1 \cdot 1}{6 \cdot 1} + \frac{1 \cdot 3}{2 \cdot 3} \\ &= \frac{1 + 3}{6} \\ &= \frac{4}{6} \\&= \frac{2}{3} \end{aligned} \]