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!

Learn how to solve the division of fractions 4/5 ÷ 2/3 with a clear, step-by-step breakdown. This guide covers key fraction concepts, including multiplying by reciprocals and simplifying the result. Suitable for students in Grades 5-7.

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