Question

4 ½ + 3 ¼ =

Explanation:

Step1: Convert to improper fractions

$4\frac{1}{2} = \frac{9}{2}$, $3\frac{1}{4} = \frac{13}{4}$

Step2: Find common denominator

$\frac{9}{2} = \frac{18}{4}$

Step3: Add the fractions

$\frac{18}{4} + \frac{13}{4} = \frac{31}{4}$

Step4: Convert to mixed number

$\frac{31}{4} = 7\frac{3}{4}$

Answer:

$7\frac{3}{4}$