To solve $\frac{4}{5} \div \frac{2}{3}$, we can follow these steps:

Step 1: Invert the second fraction (reciprocal)

Instead of dividing by $\frac{2}{3}$, multiply by its reciprocal, $\frac{3}{2}$.

$\frac{4}{5} \div \frac{2}{3} = \frac{4}{5} \times \frac{3}{2}$

Step 2: Multiply the fractions

Multiply the numerators and the denominators:

$\frac{4 \times 3}{5 \times 2} = \frac{12}{10}$

Step 3: Simplify the fraction

Now, simplify $\frac{12}{10}$:

$\frac{12}{10} = \frac{6}{5}$

So, the result is $\frac{6}{5}$, or in mixed number form, $1 \frac{1}{5}$.

Would you like more details on this solution or have any questions?

Here are some related questions:

1. How do you multiply two fractions?
2. How do you find the reciprocal of a fraction?
3. What is a mixed number, and how do you convert an improper fraction into a mixed number?
4. Can you simplify the fraction $\frac{6}{5}$ further?
5. How can you use fractions in real-life situations?

Tip: When dividing fractions, always remember to multiply by the reciprocal of the second fraction!