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Multiply fractions with step-by-step solutions. Includes cross-cancellation option for easier math.
Note: Unlike addition/subtraction, you don't need a common denominator!
Cross-cancellation simplifies BEFORE multiplying, making the math easier:
Example: 2/3 × 3/4
Cross-cancel the 3s: 2/1 × 1/4 = 2/4 = 1/2
No! That's what makes multiplication easier than addition/subtraction. Simply multiply the numerators together and denominators together. For example: 1/2 × 3/4 = (1×3)/(2×4) = 3/8. No common denominator needed!
Cross-cancellation is simplifying before multiplying. Look for common factors between any numerator and any denominator, then divide both by their GCF. This keeps numbers smaller and often eliminates the need to simplify at the end. For example: 4/9 × 3/8 → cancel 4 and 8 by 4, cancel 3 and 9 by 3 → 1/3 × 1/2 = 1/6.
First convert each mixed number to an improper fraction. Then multiply the fractions using the regular method. Finally, convert back to a mixed number if desired. For example: 2 1/2 × 1 1/3 = 5/2 × 4/3 = 20/6 = 10/3 = 3 1/3.
When you multiply two proper fractions (both less than 1), you're taking a fraction of a fraction. For example, 1/2 × 1/2 means 'half of a half,' which is 1/4. You're finding a part of a part, which is smaller than either original fraction.
Yes! Multiply all numerators together and all denominators together. For example: 1/2 × 2/3 × 3/4 = (1×2×3)/(2×3×4) = 6/24 = 1/4. Cross-cancellation becomes even more useful with multiple fractions.
Multiply as normal. A negative times a positive gives a negative result. A negative times a negative gives a positive result. For example: -1/2 × 3/4 = -3/8, but -1/2 × -3/4 = 3/8.