Fractions
Cross-cancel before multiplying fractions
Reduce common numerator and denominator factors before multiplication to keep the product calculation manageable.
Preview and downloadFractions practice
Multiplying fractions
Create a multiplying fractions worksheet with 10 or 15 proper-fraction problems, three denominator ranges, exact reduced products, and a separate answer key.
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Multiply the numerators and multiply the denominators. Simplify the product, and use the sizes of the factors to check whether the result is reasonable.
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Customize this worksheetLearning objective
What this activity builds
Multiply numerator and denominator factors correctly and interpret how a fractional factor scales an amount.
Worked example
Find 2/3 × 5/8.
10/24 = 5/12.
The numerator product is 2 × 5 = 10 and the denominator product is 3 × 8 = 24. Dividing both by 2 gives 5/12. Taking two-thirds of 5/8 produces less than 5/8.
Teaching notes
Make the practice count
- Describe multiplication by a fraction less than one as taking part of an amount.
- Keep numerator factors and denominator factors on separate lines.
- Check the unreduced product first if a final simplified answer is wrong.
Choose a multiplying fractions worksheet
Start with the default Friendly numbers for denominators 2, 3, 4, 5 and 10. Move to denominators 2 through 10 or 2 through 20 for a wider range, then choose 10 or 15 problems for the amount of practice needed. Every factor is a positive proper fraction, and the answer key gives exact products reduced to lowest terms.
Use this fraction-only page when both factors should be proper fractions. Choose Multiplying Fractions and Whole Numbers when one factor is whole or the wording should use “of,” and choose Multiplying Mixed Numbers when the factors include whole-number and fractional parts.
What changes between the three difficulty choices?
Friendly numbers uses denominators 2, 3, 4, 5 and 10 with numerators through 9. The next level uses denominators 2 through 10 and numerators through 9; the highest uses denominators 2 through 20 and numerators through 19.
Do these worksheets include whole or mixed numbers?
No. Each problem multiplies two positive proper fractions. Use the whole-number or mixed-number companion worksheet when those forms are the intended practice.
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