How to Divide Fractions

Learn how to divide fractions step by step with clear explanations, solved examples, and interactive practice problems. Master the keep-change-flip method and gain confidence in dividing fractions for homework, tests, and everyday math.

The Golden Rule of Dividing Fractions

The KCF Method: Keep, Change, Flip!

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

Keep the first fraction • Change division to multiplication • Flip the second fraction

💡 Why does this work? Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $\frac{c}{d}$ is $\frac{d}{c}$ - just flip it upside down!

📚 Step-by-Step Examples

Example 1: Simple Fractions

Problem: $\frac{1}{2} \div \frac{1}{4}$

Step 1: Keep the first fraction: $\frac{1}{2}$
Step 2: Change ÷ to ×
Step 3: Flip the second fraction: $\frac{4}{1}$
Step 4: Multiply: $\frac{1}{2} \times \frac{4}{1} = \frac{4}{2}$
Step 5: Simplify: $\frac{4}{2} = 2$
✅ Answer: $2$
Example 2: With Different Denominators

Problem: $\frac{1}{4} \div \frac{1}{2}$

Step 1: Rewrite as multiplication: $\frac{1}{4} \times \frac{2}{1}$
Step 2: Multiply numerators: $1 \times 2 = 2$
Step 3: Multiply denominators: $4 \times 1 = 4$
Step 4: Simplify: $\frac{2}{4} = \frac{1}{2}$
✅ Answer: $\frac{1}{2}$
Example 3: With Simplification

Problem: $\frac{6}{8} \div \frac{3}{4}$

Step 1: Rewrite: $\frac{6}{8} \times \frac{4}{3}$
Step 2: Cancel before multiplying: $\frac{6}{8} \times \frac{4}{3} = \frac{6}{2} \times \frac{1}{3}$
Step 3: Multiply: $\frac{6 \times 1}{2 \times 3} = \frac{6}{6}$
Step 4: Simplify: $\frac{6}{6} = 1$
✅ Answer: $1$
Example 4: Simplifying Before Multiplying

Problem: $\frac{2}{5} \div \frac{4}{5}$

Step 1: Flip and multiply: $\frac{2}{5} \times \frac{5}{4}$
Step 2: Cancel 5s: $\frac{2}{1} \times \frac{1}{4}$
Step 3: Multiply: $\frac{2}{4}$
Step 4: Simplify: $\frac{1}{2}$
✅ Answer: $\frac{1}{2}$
Example 5: Whole Number ÷ Fraction

Problem: $6 \div \frac{2}{3}$

Step 1: Write 6 as a fraction: $\frac{6}{1}$
Step 2: Flip and multiply: $\frac{6}{1} \times \frac{3}{2}$
Step 3: Multiply: $\frac{18}{2}$
Step 4: Simplify: $9$
✅ Answer: $9$
Example 6: Fraction ÷ Whole Number

Problem: $\frac{3}{4} \div 2$

Step 1: Write 2 as a fraction: $\frac{2}{1}$
Step 2: Flip and multiply: $\frac{3}{4} \times \frac{1}{2}$
Step 3: Multiply: $\frac{3}{8}$
✅ Answer: $\frac{3}{8}$

🧮 Interactive Fraction Division Calculator

Practice dividing fractions with instant step-by-step solutions!

Divide Two Fractions

📊 Test Your Skills!

1. Calculate: $\frac{1}{4} \div \frac{1}{2}$
A) $\frac{1}{2}$
B) $\frac{1}{8}$
C) $\frac{2}{3}$
D) $\frac{1}{4}$
2. Calculate: $\frac{1}{3} \div 2$
A) $\frac{2}{3}$
B) $\frac{1}{3}$
C) $\frac{1}{6}$
D) $\frac{2}{6}$
3. Calculate: $4 \div \frac{2}{3}$
A) $\frac{8}{3}$
B) $6$
C) $\frac{2}{3}$
D) $\frac{4}{3}$
4. Calculate: $\frac{2}{5} \div \frac{3}{5}$
A) $\frac{2}{3}$
B) $\frac{8}{25}$
C) $\frac{2}{4}$
D) $\frac{5}{8}$
5. Calculate: $\frac{3}{8} \div \frac{3}{4}$
A) $\frac{9}{32}$
B) $\frac{3}{2}$
C) $\frac{4}{8}$
D) $\frac{1}{2}$