Dividing Fractions Practice Problems with Answers
Five solved division problems using keep, change, flip, then unlimited practice problems with step-by-step hints.
5 dividing fractions problems with answers
Each one shows the answer and the working. Try it yourself first, then check.
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1.3/4 ÷ 1/2
Answer: 3/2 (1 1/2)
Keep 3/4, change to ×, flip 1/2 to 2/1: 3/4 × 2/1 = 6/4 = 3/2.
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2.2/3 ÷ 4
Answer: 1/6
Write 4 as 4/1 and flip it to 1/4: 2/3 × 1/4 = 2/12 = 1/6.
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3.5/8 ÷ 5/6
Answer: 3/4
Flip the divisor: 5/8 × 6/5. The 5s cancel, leaving 6/8, which simplifies to 3/4.
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4.1/2 ÷ 3/7
Answer: 7/6 (1 1/6)
Flip the divisor: 1/2 × 7/3 = 7/6. Dividing by a fraction under 1 gives an answer bigger than the fraction you started with.
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5.2 1/4 ÷ 1 1/2
Answer: 3/2 (1 1/2)
Convert to 9/4 ÷ 3/2, then flip: 9/4 × 2/3 = 18/12 = 3/2.
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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!)