3 4/5 + 8 1/3
You asked:
Evaluate the expression: \(3\frac{4}{5} + 8\frac{1}{3}\)
MathBot Answer:
\[ 3\frac{4}{5} + 8\frac{1}{3} = \frac{182}{15} = 12.1\overline{3} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{1}\), \(\frac{4}{5}\), \(\frac{8}{1}\), and \(\frac{1}{3}\) is \(15\). \[ \begin{aligned} 3\frac{4}{5} + 8\frac{1}{3} &= \frac{3 \cdot 15}{1 \cdot 15} + \frac{4 \cdot 3}{5 \cdot 3} + \frac{8 \cdot 15}{1 \cdot 15} + \frac{1 \cdot 5}{3 \cdot 5} \\ &= \frac{45 + 12 + 120 + 5}{15} \\ &= \frac{182}{15} \end{aligned} \]