Math Problem Solver

\[ 1\frac{5}{9} + 3\frac{1}{9} = \frac{14}{3} = 4.\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{1}\), \(\frac{5}{9}\), \(\frac{3}{1}\), and \(\frac{1}{9}\) is \(9\). \[ \begin{aligned} 1\frac{5}{9} + 3\frac{1}{9} &= \frac{1 \cdot 9}{1 \cdot 9} + \frac{5 \cdot 1}{9 \cdot 1} + \frac{3 \cdot 9}{1 \cdot 9} + \frac{1 \cdot 1}{9 \cdot 1} \\ &= \frac{9 + 5 + 27 + 1}{9} \\ &= \frac{42}{9} \\&= \frac{14}{3} \end{aligned} \]