Dividing fractions might seem hard at first, but it's really not that tough if you follow some simple steps. Let’s break it down:

Step 1: Know the Reciprocal

When you divide fractions, you actually need to multiply by the reciprocal of the second fraction.

The reciprocal is just swapping the top number (called the numerator) and the bottom number (called the denominator) of the fraction.

For example, the fraction $\frac{2}{3}$ has a reciprocal of $\frac{3}{2}$.

Step 2: Change the Problem

Instead of dividing $\frac{a}{b}$ by $\frac{c}{d}$ (where $b$ and $d$ aren’t zero), you can rewrite it like this:

$$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$

Step 3: Multiply the Fractions

Now that you’ve turned the division into multiplication, you can just multiply the top numbers together and the bottom numbers together.

For example:

$$\frac{2}{3} \div \frac{3}{4} = \frac{2}{3} \times \frac{4}{3} = \frac{2 \times 4}{3 \times 3} = \frac{8}{9}$$

Step 4: Simplify if Necessary

After multiplying, it’s a good idea to see if you can make the fraction simpler. In our example, $\frac{8}{9}$ can’t be simplified any more, so that’s our final answer!

Summary

Remember: Multiply by the reciprocal, multiply the numbers, and simplify if you can. With some practice, you’ll get the hang of this!