Practice Fraction Division
Quick Tips
- ✓ Keep, Change, Flip - Keep the first fraction, change division to multiplication, flip the second fraction
- ✓ Multiply the numerators after flipping
- ✓ Multiply the denominators after flipping
- ✓ Simplify your final answer
- ✓ Remember: dividing by a fraction less than 1 makes the result larger
- ✓ Check your answer by multiplying it by the divisor - you should get the dividend
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Understanding Fraction Division
How to Divide Fractions
Dividing fractions uses a simple trick: "Keep, Change, Flip". Here are the steps:
- Keep the first fraction as it is
- Change the division sign to multiplication
- Flip the second fraction (reciprocal)
- Multiply the fractions
- Simplify the result if possible
Example
Let's divide 2/3 ÷ 3/4:
- Keep first fraction: 2/3
- Change ÷ to ×
- Flip second fraction: 3/4 becomes 4/3
- Multiply: 2/3 × 4/3
- Multiply numerators: 2 × 4 = 8
- Multiply denominators: 3 × 3 = 9
- Result: 8/9
Common Mistakes to Avoid
- Forgetting to flip the second fraction
- Flipping both fractions instead of just the second one
- Not simplifying the final answer
- Trying to find a common denominator (not needed for division!)