3 1/4 + 2 3/4

asked by guest
on Sep 19, 2024 at 5:14 pm



You asked:

Evaluate the expression: \(3\frac{1}{4} + 2\frac{3}{4}\)

MathBot Answer:

\[ 3\frac{1}{4} + 2\frac{3}{4} = 6 \]

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


+ Submit Question