3 3/4+2 1/4
You asked:
Evaluate the expression: \(3\frac{3}{4} + 2\frac{1}{4}\)
MathBot Answer:
\[ 3\frac{3}{4} + 2\frac{1}{4} = 6 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{1}\), \(\frac{3}{4}\), \(\frac{2}{1}\), and \(\frac{1}{4}\) is \(4\). \[ \begin{aligned} 3\frac{3}{4} + 2\frac{1}{4} &= \frac{3 \cdot 4}{1 \cdot 4} + \frac{3 \cdot 1}{4 \cdot 1} + \frac{2 \cdot 4}{1 \cdot 4} + \frac{1 \cdot 1}{4 \cdot 1} \\ &= \frac{12 + 3 + 8 + 1}{4} \\ &= \frac{24}{4} \\&= 6 \end{aligned} \]