Let's solve the expression step by step:

$\frac{4}{5} + \frac{1}{2} - \frac{1}{3}$

Step 1: Find a common denominator.

The denominators are 5, 2, and 3. The least common denominator (LCD) of these numbers is 30.

Step 2: Convert each fraction to have a denominator of 30.

$\frac{4}{5} = \frac{4 \times 6}{5 \times 6} = \frac{24}{30}$ $\frac{1}{2} = \frac{1 \times 15}{2 \times 15} = \frac{15}{30}$ $\frac{1}{3} = \frac{1 \times 10}{3 \times 10} = \frac{10}{30}$

Step 3: Rewrite the expression with a common denominator.

$\frac{24}{30} + \frac{15}{30} - \frac{10}{30}$

Step 4: Simplify.

$\frac{24 + 15 - 10}{30} = \frac{29}{30}$

Final Answer:

$\frac{29}{30}$

Would you like a more detailed explanation or have any questions?

Here are 5 related questions for you:

1. How do you find the least common denominator (LCD)?
2. What happens when you subtract fractions with the same denominator?
3. Can you solve this expression with different fractions: $\frac{2}{3} + \frac{3}{4} - \frac{1}{5}$?
4. What is the rule for adding or subtracting fractions with different denominators?
5. How would you approach multiplying or dividing fractions?

Tip: When adding or subtracting fractions, always convert to a common denominator before performing the operation.