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Multiplying Fractions Practice Problems with Answers

Five solved multiplication problems, including cross cancelling and mixed numbers, then unlimited practice problems.

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 multiplying fractions problems with answers

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

  1. 1.1/2 × 1/3

    Answer: 1/6

    Multiply across: 1 × 1 = 1 and 2 × 3 = 6. A third of a half is a sixth.

    Open this problem in the calculator

  2. 2.2/5 × 3/4

    Answer: 3/10

    Multiply across: 6/20. Both parts divide by 2, so it simplifies to 3/10.

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  3. 3.3/8 × 4/9

    Answer: 1/6

    Cancel before multiplying: 4 and 8 share 4, 3 and 9 share 3. That leaves 1/2 × 1/3 = 1/6.

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  4. 4.5/6 × 12

    Answer: 10

    Write 12 as 12/1: 60/6 = 10. Multiplying by a whole number scales the numerator only.

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  5. 5.2 1/2 × 3/5

    Answer: 3/2 (1 1/2)

    Convert 2 1/2 to 5/2, then 5/2 × 3/5 = 15/10, which simplifies by 5 to 3/2.

    Open this problem in the calculator

Quick Tips

  • Multiply the numerators together
  • Multiply the denominators together
  • Simplify your answer if possible
  • Remember that multiplying by a fraction less than 1 makes the result smaller
  • Look for opportunities to simplify before multiplying

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Understanding Fraction Multiplication

How to Multiply Fractions

Multiplying fractions is simpler than adding or subtracting them. Here are the steps:

  1. Multiply the numerators - Multiply the top numbers together.
  2. Multiply the denominators - Multiply the bottom numbers together.
  3. Simplify if possible - Reduce the result to its simplest form.

Example

Let's multiply 2/3 × 3/4:

  1. Multiply numerators: 2 × 3 = 6
  2. Multiply denominators: 3 × 4 = 12
  3. Result is 6/12
  4. Simplify: 6/12 = 1/2

Common Mistakes to Avoid

  • Forgetting to simplify the final answer
  • Trying to find a common denominator (not needed for multiplication!)
  • Not recognizing when you can simplify before multiplying

Multiplying fractions: common questions

Multiply the numerators together, multiply the denominators together, then simplify. For 2/5 × 3/4 that is 6/20, which reduces to 3/10. No common denominator is needed.

Cross cancelling means dividing out a common factor between one numerator and the other denominator before you multiply. In 3/8 × 4/9, cancel 4 with 8 and 3 with 9 to get 1/2 × 1/3 = 1/6. It keeps the numbers small, so there is less to simplify at the end.

Multiplying by a fraction less than 1 means taking a part of something. 1/2 × 1/3 asks for half of a third, which is smaller than either piece. Multiply by a fraction greater than 1, like 3/2, and the answer grows instead.

Convert each mixed number to an improper fraction first, then multiply across. 2 1/2 × 3/5 becomes 5/2 × 3/5 = 15/10 = 3/2, or 1 1/2. Multiplying the whole numbers and fractions separately does not work.