Solve the Expression: 11:2 + 4½ Step by Step

To solve this problem, follow these steps:

• Step 1: Interpret the division operation $11:2$ as $11 \div 2$.
• Step 2: Divide 11 by 2 to get $5.5$.
• Step 3: Convert the mixed number $4\frac{1}{2}$ to its decimal form $4.5$ or as an improper fraction $\frac{9}{2}$.
• Step 4: Add the results from Step 2 and Step 3: $5.5 + 4.5 = 10$.

Now, let's work through each step in detail:

Step 1: The division operation $11:2$ is equivalent to $11 \div 2$. Performing the division, we have:

$11 \div 2 = 5.5$.

Step 2: The mixed number $4\frac{1}{2}$ can be expressed as a decimal by converting it as follows:

$4\frac{1}{2} = 4 + 0.5 = 4.5$.

Step 3: Add the results from Step 1 and Step 2:

$5.5 + 4.5 = 10$.

Therefore, the solution to the problem is $10$.