Solve Mixed Number Equation: 20½ - (10⅓ + 5⅔)

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

• Step 1: Convert each mixed number to an improper fraction.
• Step 2: Add the improper fractions inside the parentheses.
• Step 3: Subtract the result from the improper fraction of the first term.
• Step 4: Simplify the result back to a mixed number.

Let's execute each step:
Step 1: Convert mixed numbers to improper fractions:
$20\frac{1}{2} = \frac{41}{2}$
$10\frac{1}{3} = \frac{31}{3}$
$5\frac{2}{3} = \frac{17}{3}$

Step 2: Add the fractions inside the parentheses:
$10\frac{1}{3} + 5\frac{2}{3} = \frac{31}{3} + \frac{17}{3} = \frac{48}{3} = 16$

Step 3: Subtract $16$ from $\frac{41}{2}$:
Convert $16$ to a fraction with the same denominator: $16 = \frac{32}{2}$
Subtract: $\frac{41}{2} - \frac{32}{2} = \frac{9}{2}$

Step 4: Convert the improper fraction back to a mixed number:
$\frac{9}{2}$ simplifies to $4\frac{1}{2}$.

Therefore, the solution to the problem is $4\frac{1}{2}$.