7 1/3 + 5 4/5
You asked:
Evaluate the expression: \(7\frac{1}{3} + 5\frac{4}{5}\)
MathBot Answer:
\[ 7\frac{1}{3} + 5\frac{4}{5} = \frac{197}{15} = 13.1\overline{3} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{7}{1}\), \(\frac{1}{3}\), \(\frac{5}{1}\), and \(\frac{4}{5}\) is \(15\). \[ \begin{aligned} 7\frac{1}{3} + 5\frac{4}{5} &= \frac{7 \cdot 15}{1 \cdot 15} + \frac{1 \cdot 5}{3 \cdot 5} + \frac{5 \cdot 15}{1 \cdot 15} + \frac{4 \cdot 3}{5 \cdot 3} \\ &= \frac{105 + 5 + 75 + 12}{15} \\ &= \frac{197}{15} \end{aligned} \]