how do you divide fractions

Dividing fractions is straightforward once you know the steps! Here's how you do it:

How to Divide Fractions

Step 1: Keep the first fraction as it is.

For example, if you have ab÷cd\frac{a}{b}\div \frac{c}{d}ba​÷dc​, keep ab\frac{a}{b}ba​.

Step 2: Change the division sign to multiplication.

So, ab÷cd\frac{a}{b}\div \frac{c}{d}ba​÷dc​ becomes ab×dc\frac{a}{b}\times \frac{d}{c}ba​×cd​.

Step 3: Flip the second fraction (take its reciprocal).

The reciprocal of cd\frac{c}{d}dc​ is dc\frac{d}{c}cd​.

Step 4: Multiply the numerators (top numbers) together.

Multiply a×da\times da×d.

Step 5: Multiply the denominators (bottom numbers) together.

Multiply b×cb\times cb×c.

Step 6: Simplify the resulting fraction if possible.

Example:

Divide 34÷25\frac{3}{4}\div \frac{2}{5}43​÷52​:

• Keep the first fraction: 34\frac{3}{4}43​
• Flip the second fraction: 52\frac{5}{2}25​
• Multiply: 34×52=3×54×2=158\frac{3}{4}\times \frac{5}{2}=\frac{3\times 5}{4\times 2}=\frac{15}{8}43​×25​=4×23×5​=815​
• Simplify if needed (here, 158\frac{15}{8}815​ is already in simplest form).

So, 34÷25=158\frac{3}{4}\div \frac{2}{5}=\frac{15}{8}43​÷52​=815​. If you want, I can help with more examples or practice problems!