1 1/3 + 2 5/6
You asked:
Evaluate the expression: \(1\frac{1}{3} + 2\frac{5}{6}\)
MathBot Answer:
\[ 1\frac{1}{3} + 2\frac{5}{6} = \frac{25}{6} = 4.1\overline{6} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{1}\), \(\frac{1}{3}\), \(\frac{2}{1}\), and \(\frac{5}{6}\) is \(6\). \[ \begin{aligned} 1\frac{1}{3} + 2\frac{5}{6} &= \frac{1 \cdot 6}{1 \cdot 6} + \frac{1 \cdot 2}{3 \cdot 2} + \frac{2 \cdot 6}{1 \cdot 6} + \frac{5 \cdot 1}{6 \cdot 1} \\ &= \frac{6 + 2 + 12 + 5}{6} \\ &= \frac{25}{6} \end{aligned} \]