When dividing fractions, you follow a simple rule: Multiply by the reciprocal of the second fraction.

Here’s how to do it step-by-step:

1. Write down the division problem: For example, $\frac{a}{b} \div \frac{c}{d}$.
2. Find the reciprocal of the second fraction: The reciprocal of $\frac{c}{d}$ is $\frac{d}{c}$.
3. Multiply the first fraction by the reciprocal: So, you multiply $\frac{a}{b} \times \frac{d}{c}$.
4. Simplify the result if possible.

Example:

Let’s divide $\frac{2}{3} \div \frac{4}{5}$.

1. Write it as $\frac{2}{3} \div \frac{4}{5}$.
2. The reciprocal of $\frac{4}{5}$ is $\frac{5}{4}$.
3. Now multiply: $\frac{2}{3} \times \frac{5}{4} = \frac{2 \times 5}{3 \times 4} = \frac{10}{12}.$
4. Simplify the fraction: $\frac{10}{12} = \frac{5}{6}$.

So, $\frac{2}{3} \div \frac{4}{5} = \frac{5}{6}$.

Would you like a more detailed explanation of any part of this process? Or do you have a specific problem to solve?

Further questions to explore:

1. How do you divide fractions when one of them is a whole number?
2. What happens if one of the fractions is improper?
3. How do you convert a mixed number into an improper fraction for division?
4. Can you divide fractions with negative numbers?
5. How do you simplify fractions before or after division?

Tip: Always simplify the final fraction if possible, by finding the greatest common divisor (GCD) of the numerator and denominator!