Enter two fractions — including proper, improper, or mixed fractions — and the Multiplying Fractions Calculator returns the product as a simplified fraction and as a mixed number. Input each fraction's whole number (optional), numerator, and denominator, then hit Calculate to see the result reduced to its lowest terms.
Result (Simplified Fraction)
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Result Numerator
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Result Denominator
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Mixed Number Result
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Decimal Equivalent
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To multiply two fractions, multiply the numerators together to get the new numerator, then multiply the denominators together to get the new denominator. For example, 2/3 × 3/4 = (2×3)/(3×4) = 6/12, which simplifies to 1/2. Always simplify your answer by dividing both terms by their greatest common divisor (GCD).
First convert each mixed number to an improper fraction. Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator (e.g. 2¾ becomes 11/4). Then multiply the two improper fractions as normal and simplify the result.
No — unlike addition and subtraction, multiplying fractions does not require a common denominator. You simply multiply the numerators together and the denominators together, then simplify the result.
Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by it. For example, 6/12 has a GCD of 6, so 6÷6 = 1 and 12÷6 = 2, giving the simplified fraction 1/2.
Yes. The same rules apply: multiply numerators and denominators. For the sign, if both fractions are negative (or both positive) the result is positive. If one is negative and the other positive, the result is negative. For example, -2/3 × 3/4 = -6/12 = -1/2.
An improper fraction has a numerator larger than (or equal to) its denominator, such as 7/4. Improper fractions are perfectly valid to use in multiplication and are actually the preferred form when working with mixed numbers, since you convert mixed numbers to improper fractions before multiplying.
When a math problem says 'find 1/3 of 3/8', the word 'of' means multiply. So you would calculate 1/3 × 3/8 = 3/24 = 1/8. This calculator handles that operation directly — just enter your two fractions and multiply.
After simplifying the product fraction, if the numerator is larger than the denominator, divide the numerator by the denominator. The quotient is the whole number part and the remainder becomes the new numerator over the original denominator. For example, 9/4 becomes 2 and 1/4 (i.e. 2¼).