3 1/4 +6 1/2
You asked:
Evaluate the expression: \(3\frac{1}{4} + 6\frac{1}{2}\)
MathBot Answer:
\[ 3\frac{1}{4} + 6\frac{1}{2} = \frac{39}{4} = 9.75 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{1}\), \(\frac{1}{4}\), \(\frac{6}{1}\), and \(\frac{1}{2}\) is \(4\). \[ \begin{aligned} 3\frac{1}{4} + 6\frac{1}{2} &= \frac{3 \cdot 4}{1 \cdot 4} + \frac{1 \cdot 1}{4 \cdot 1} + \frac{6 \cdot 4}{1 \cdot 4} + \frac{1 \cdot 2}{2 \cdot 2} \\ &= \frac{12 + 1 + 24 + 2}{4} \\ &= \frac{39}{4} \end{aligned} \]