5 2/6 + 6 1/3
You asked:
Evaluate the expression: \(5\frac{2}{6} + 6\frac{1}{3}\)
MathBot Answer:
\[ 5\frac{2}{6} + 6\frac{1}{3} = \frac{35}{3} = 11.\overline{6} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{1}\), \(\frac{2}{6}\), \(\frac{6}{1}\), and \(\frac{1}{3}\) is \(6\). \[ \begin{aligned} 5\frac{2}{6} + 6\frac{1}{3} &= \frac{5 \cdot 6}{1 \cdot 6} + \frac{2 \cdot 1}{6 \cdot 1} + \frac{6 \cdot 6}{1 \cdot 6} + \frac{1 \cdot 2}{3 \cdot 2} \\ &= \frac{30 + 2 + 36 + 2}{6} \\ &= \frac{70}{6} \\&= \frac{35}{3} \end{aligned} \]