Fraction Multiplication Calculator
Enter two fractions below. The calculator multiplies them, simplifies the answer, and shows step-by-step working.
How to multiply fractions
Multiplying fractions is usually one of the easiest fraction operations. Unlike addition and subtraction, you do not need a common denominator first. You simply multiply top by top and bottom by bottom.
- Multiply the numerators.
- Multiply the denominators.
- Simplify the final fraction if possible.
Quick formula
If you have a/b and c/d, then:
(a/b) × (c/d) = (a×c)/(b×d)
Worked example
Suppose you want to multiply 2/3 × 9/10.
- Numerators: 2 × 9 = 18
- Denominators: 3 × 10 = 30
- Fraction: 18/30
- Simplify by dividing both by 6: 3/5
So the final answer is 3/5.
Why simplification matters
A simplified fraction is easier to read, compare, and use in later calculations. For example, 24/36 and 2/3 are equal, but 2/3 is cleaner and faster to work with.
Handling negatives, improper fractions, and zero
Negative fractions
If one fraction is negative, the product is negative. If both are negative, the product is positive.
Improper fractions
If the numerator is larger than the denominator, the result is an improper fraction. You can keep it that way or convert it to a mixed number.
Multiplying by zero
Any fraction multiplied by 0 gives 0, as long as denominators are valid (not zero).
Common mistakes to avoid
- Trying to find a common denominator first (not required for multiplication).
- Forgetting to simplify the final answer.
- Using a denominator of zero, which is undefined.
- Entering decimals when the tool expects integer numerator/denominator values.
FAQ
Can I multiply more than two fractions?
Yes. Multiply all numerators together and all denominators together, then simplify once at the end.
Can this calculator show a decimal answer too?
Yes. This calculator provides both the simplified fraction and its decimal value.
Can I use mixed numbers directly?
This tool takes standard fractions. Convert mixed numbers to improper fractions first, or enter their equivalent improper form.
Final thoughts
A good multiply fractions calculator saves time and helps you learn by showing each step clearly. Use it for homework checks, exam prep, recipes, measurements, and everyday math.