Multiplying Fractions Worksheet
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Multiplying Fractions Worksheet
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Worked Example
Problem: 3/5 × 10/9
- Check for cross-canceling opportunities.— 3 and 9 share a common factor of 3. 10 and 5 share a common factor of 5.
- Rewrite the problem with the reduced values.— The problem is now (1/1) × (2/3).
- Multiply the numerators, then the denominators.— 1 × 2 = 2 and 1 × 3 = 3, giving 2/3.
Answer: 2/3
Frequently Asked Questions
No — common denominators are only needed for addition and subtraction. To multiply, simply multiply the numerators together and the denominators together.
Multiplying fractions finds a fraction of a fraction. For example, 1/2 × 3/4 asks "what is one-half of three-quarters?" The answer, 3/8, is a smaller piece of the whole.
Cross-canceling is simplifying before you multiply by dividing a numerator and a diagonal denominator by their GCF. It keeps numbers smaller and avoids simplifying a large product at the end.