Multiplying Fractions Calculator

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. Also try the Mixed Number Calculator.

Enter a whole number if this is a mixed number (e.g. 2 for 2¾). Leave 0 for a simple fraction.

Enter a whole number if this is a mixed number (e.g. 1 for 1½). Leave 0 for a simple fraction.

Results

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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Frequently Asked Questions

How do you multiply fractions?

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). See also our Rationalize Denominator Calculator.

How do you multiply mixed numbers?

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.

Do you need a common denominator to multiply fractions?

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.

How do you simplify a fraction to its lowest terms?

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. You might also find our calculate Reciprocal (Fraction), Reciprocal (Decimal) & Original Number (Decimal) — Reciprocal useful.

Can you multiply negative fractions?

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.

What is an improper fraction?

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.

What does 'of' mean in fraction problems?

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.

How is the result converted to a mixed number?

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).