2 4/5 + 1/3
You asked:
Evaluate the expression: \(2\frac{4}{5} + \frac{1}{3}\)
MathBot Answer:
\[ 2\frac{4}{5} + \frac{1}{3} = \frac{47}{15} = 3.1\overline{3} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{4}{5}\), and \(\frac{1}{3}\) is \(15\). \[ \begin{aligned} 2\frac{4}{5} + \frac{1}{3} &= \frac{2 \cdot 15}{1 \cdot 15} + \frac{4 \cdot 3}{5 \cdot 3} + \frac{1 \cdot 5}{3 \cdot 5} \\ &= \frac{30 + 12 + 5}{15} \\ &= \frac{47}{15} \end{aligned} \]