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Dividing Fractions Practice Problems with Answers

Five solved division problems using keep, change, flip, then unlimited practice problems with step-by-step hints.

Addition

Add fractions with like and unlike denominators

Subtraction

Subtract fractions with like and unlike denominators

Multiplication

Multiply fractions and mixed numbers

Division

Divide fractions and mixed numbers

Simplifying

Reduce fractions to lowest terms

Equivalent

Find the missing number

Comparing

Pick <, = or >

Mixed Numbers

Mixed numbers and improper fractions

5 dividing fractions problems with answers

Each one shows the answer and the working. Try it yourself first, then check.

  1. 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.

    Open this problem in the calculator

  2. 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.

    Open this problem in the calculator

  3. 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.

    Open this problem in the calculator

  4. 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.

    Open this problem in the calculator

  5. 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.

    Open this problem in the calculator

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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Your Practice History

Understanding Fraction Division

How to Divide Fractions

Dividing fractions uses a simple trick: "Keep, Change, Flip". Here are the steps:

  1. Keep the first fraction as it is
  2. Change the division sign to multiplication
  3. Flip the second fraction (reciprocal)
  4. Multiply the fractions
  5. Simplify the result if possible

Example

Let's divide 2/3 ÷ 3/4:

  1. Keep first fraction: 2/3
  2. Change ÷ to ×
  3. Flip second fraction: 3/4 becomes 4/3
  4. Multiply: 2/3 × 4/3
  5. Multiply numerators: 2 × 4 = 8
  6. Multiply denominators: 3 × 3 = 9
  7. 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!)

Dividing fractions: common questions

Keep the first fraction as it is, change the division sign to multiplication, and flip the second fraction upside down. 3/4 ÷ 1/2 becomes 3/4 × 2/1 = 6/4 = 3/2. Only the divisor gets flipped, never the first fraction.

Dividing by a number is the same as multiplying by its reciprocal. Asking "how many halves fit in 3/4" is the same as asking "what is 3/4 of two", because each whole holds two halves. That is why the denominator and numerator swap places.

Write the whole number over 1, then flip it. For 2/3 ÷ 4, use 2/3 × 1/4 = 2/12 = 1/6. In practice this just multiplies the denominator by the whole number.

That is correct behaviour when the divisor is less than 1. 1/2 ÷ 3/7 = 7/6 because 3/7 fits into 1/2 slightly more than once. If the divisor is greater than 1, the answer shrinks instead.