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How It Works
Multiplying fractions is straightforward: multiply the numerators to get the new numerator, and multiply the denominators to get the new denominator. Then simplify the result by dividing both by their Greatest Common Divisor.
Example Problem
Multiply 2/3 × 3/4:
- Numerators: 2 × 3 = 6
- Denominators: 3 × 4 = 12
- Result: 6/12. GCD = 6, so simplified: 1/2
Frequently Asked Questions
How to multiply fractions?
Multiply the two numerators together and the two denominators together. For 3/5 × 2/7, the result is 6/35. No common denominator is needed, unlike addition.
Can you cross-cancel before multiplying fractions?
Yes. Cross-canceling simplifies before you multiply, keeping numbers smaller. In 4/9 × 3/8, you can cancel 4 and 8 (both divide by 4) and 3 and 9 (both divide by 3), leaving 1/3 × 1/2 = 1/6.
How to multiply a fraction by a whole number?
Write the whole number as a fraction over 1, then multiply normally. For 3/4 × 5, compute 3/4 × 5/1 = 15/4 = 3 3/4.
Related Calculators
- Fraction Division Calculator — divide fractions using the reciprocal method.
- Simplify Fraction Calculator — reduce any fraction to lowest terms.
- Grid Multiplication Calculator — multiply whole numbers with the box method.
- Fraction Addition Calculator — add fractions with unlike denominators.
- GCF Calculator — find the greatest common factor to simplify products.