Multiplying Fractions Calculator with Steps
This multiplying fractions calculator multiplies any two fractions, whole numbers, or mixed numbers and shows the full working, not just the final answer. Fill in the numbers above and the reduced product updates instantly — there's no submit button and nothing to upload, since every calculation runs right on your device.
How to multiply fractions with this calculator
Each side has three fields: a whole number, a numerator, and a denominator, stacked in the standard vertical fraction format — numerator above the line, denominator below. Type into either side and the result recalculates on every keystroke. Leave a denominator blank and it's treated as 1; leave a numerator blank while a whole number is filled in and it's treated as 0.
That's the simplest case: two plain fractions, multiplied straight across (2 × 3 = 6 over 3 × 4 = 12) and reduced by their greatest common divisor (6/12 → 1/2). The three arithmetic steps — convert, multiply, reduce — are always shown below the answer, so you can check the working, not just copy the result.
Multiplying fractions with whole numbers
To multiply by a whole number, type it into the Whole field on that side and leave its numerator and denominator blank. That's mathematically the same as writing the whole number as a fraction over 1, which is exactly how the calculator treats it internally.
Whole-number results collapse automatically — when the reduced fraction's denominator is 1, the answer displays as a plain integer instead of an unnecessary "2/1".
Multiplying mixed numbers
For a mixed number like 1 2/3, fill in all three fields on that side: whole 1, numerator 2, denominator 3. The calculator converts it to an improper fraction the moment you type it — whole × denominator, plus numerator — before doing anything else.
If the reduced answer is itself greater than one whole, it's re-expressed as a mixed number too — a whole-number part alongside the leftover proper fraction — rather than left as an awkward improper fraction like 5/4.
How the steps are calculated (convert → multiply → simplify)
Every result comes with the same three-step breakdown, worked through for the 1 2/3 × 3/4 example above:
- Convert to improper fractions — 1 2/3 becomes 5/3 (1 × 3 + 2); 3/4 has no whole part, so it stays 3/4.
- Multiply straight across — numerators multiply together (5 × 3 = 15) and denominators multiply together (3 × 4 = 12), giving 15/12.
- Reduce using the greatest common divisor — the GCD of 15 and 12 is 3 (found with the Euclidean algorithm), so 15 ÷ 3 = 5 and 12 ÷ 3 = 4, leaving 5/4, which is 1 1/4 as a mixed number.
Negative numbers work the same way — enter a negative numerator or whole number on either side and the sign carries through every step. A denominator of exactly zero can't be divided by, so the calculator shows a plain warning instead of a broken result.
Frequently asked questions
How do you multiply fractions with whole numbers?
Write the whole number as a fraction over 1, then multiply numerators together and denominators together as usual. For 4 × 1/2, that's 4/1 × 1/2 = 4/2, which reduces to 2. In this calculator, just type the whole number into the Whole field on one side and leave its numerator and denominator blank — they default to 0 and 1, which is the same fraction-over-1 shape.
How do you multiply mixed numbers?
Convert each mixed number to an improper fraction first — multiply the whole number by the denominator and add the numerator — then multiply straight across like any other pair of fractions, and simplify the result. 1 2/3 × 3/4 becomes 5/3 × 3/4 = 15/12, which reduces to 1 1/4. This calculator does that conversion automatically the moment you fill in a Whole field.
How do you simplify a fraction after multiplying?
Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by it. For 15/12, the GCD of 15 and 12 is 3, so 15 ÷ 3 = 5 and 12 ÷ 3 = 4, giving 5/4. This calculator finds that GCD with the Euclidean algorithm and shows the division as its own step, so you can see exactly how the fraction got simplified.
Can you multiply three fractions at once?
Yes — multiply any two of them first, then multiply that (already-reduced) result by the third fraction. Fraction multiplication is associative, so the order you pair them in doesn't change the answer. This calculator handles two fractions per calculation; for a third, take its first result and multiply it against the remaining fraction.
What's the difference between multiplying and dividing fractions?
Multiplying fractions multiplies numerators together and denominators together directly. Dividing flips the second fraction upside down (its reciprocal) and then multiplies — so 1/2 ÷ 3/4 is worked out as 1/2 × 4/3. If you're dividing, invert the second fraction's numerator and denominator before entering it here, and the calculator will multiply from there.
