Solve: 30.63 - (14.68 - 5½) Using Order of Operations

To solve this problem, we'll follow these steps:

• Step 1: Simplify inside the parentheses $14.68 - 5\frac{1}{2}$
• Step 2: Convert the mixed number $5\frac{1}{2}$ to decimal form
• Step 3: Perform the subtraction from Step 1
• Step 4: Complete the outer subtraction $30.63 - \text{(result from Step 3)}$

Now, let's work through each step:

Step 1: Inside the parentheses, simplify $14.68 - 5\frac{1}{2}$.
Step 2: Convert $5\frac{1}{2}$ to a decimal which is $5.5$.
Step 3: Calculate $14.68 - 5.5$, which equals $9.18$.
Step 4: Final calculation: $30.63 - 9.18 = 21.45$.

Therefore, the solution to the problem is $21.45$.