Math Problem Solver

\[ 5\frac{1}{12} + 1\frac{6}{18} = \frac{77}{12} = 6.41\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{1}\), \(\frac{1}{12}\), \(\frac{1}{1}\), and \(\frac{6}{18}\) is \(36\). \[ \begin{aligned} 5\frac{1}{12} + 1\frac{6}{18} &= \frac{5 \cdot 36}{1 \cdot 36} + \frac{1 \cdot 3}{12 \cdot 3} + \frac{1 \cdot 36}{1 \cdot 36} + \frac{6 \cdot 2}{18 \cdot 2} \\ &= \frac{180 + 3 + 36 + 12}{36} \\ &= \frac{231}{36} \\&= \frac{77}{12} \end{aligned} \]