6 1/4+1/2

asked by guest
on Jan 23, 2025 at 2:11 pm



You asked:

Evaluate the expression: \(6\frac{1}{4} + \frac{1}{2}\)

MathBot Answer:

\[ 6\frac{1}{4} + \frac{1}{2} = \frac{27}{4} = 6.75 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{6}{1}\), \(\frac{1}{4}\), and \(\frac{1}{2}\) is \(4\). \[ \begin{aligned} 6\frac{1}{4} + \frac{1}{2} &= \frac{6 \cdot 4}{1 \cdot 4} + \frac{1 \cdot 1}{4 \cdot 1} + \frac{1 \cdot 2}{2 \cdot 2} \\ &= \frac{24 + 1 + 2}{4} \\ &= \frac{27}{4} \end{aligned} \]