Multiply Fractions Instantly
Enter two fractions below. This tool multiplies them, simplifies the final answer, and shows the mixed number and decimal forms.
Fraction 1
Fraction 2
What is a multiplying fraction calculator?
A multiplying fraction calculator helps you find the product of two fractions quickly and accurately. Instead of doing every step by hand, you enter numerator and denominator values and the calculator returns:
- The unsimplified product
- The simplified fraction
- A mixed number (when applicable)
- A decimal approximation
This is useful for students, teachers, and anyone working with measurements, recipes, proportions, or probability.
How to multiply fractions (manual method)
Step 1: Multiply the numerators
Take the top numbers and multiply them together. Example: for 2/3 × 5/7, numerator result is 2 × 5 = 10.
Step 2: Multiply the denominators
Take the bottom numbers and multiply them together. For the same example, denominator result is 3 × 7 = 21.
Step 3: Simplify the final fraction
If numerator and denominator share a common factor, divide both by their greatest common divisor (GCD). In this example, 10/21 is already simplified.
Why simplification matters
Simplifying gives the cleanest answer and makes comparison easier. For instance, 12/18 and 2/3 are equal, but 2/3 is easier to read and use.
- Cleaner final answer
- Fewer mistakes in later calculations
- Better for exams and homework
Multiplying mixed numbers and whole numbers
Mixed numbers
Convert each mixed number to an improper fraction first. Example: 1 1/2 × 2 1/3 becomes 3/2 × 7/3, then multiply to get 21/6 = 7/2 = 3 1/2.
Whole numbers
Treat whole numbers as fractions with denominator 1. Example: 4 × 3/8 = 4/1 × 3/8 = 12/8 = 3/2.
Signs, zero, and common mistakes
- Negative × Positive = Negative
- Negative × Negative = Positive
- If either numerator is 0, the product is 0 (as long as denominators are valid)
- A denominator can never be 0
Most fraction errors come from forgetting to simplify, mixing up numerator/denominator, or entering an invalid denominator.
Quick practice examples
Example 1
3/4 × 5/6 = 15/24 = 5/8
Example 2
-2/5 × 3/7 = -6/35
Example 3
7/9 × 9/14 = 63/126 = 1/2
Final thoughts
A multiplying fraction calculator saves time and improves confidence. Use it to verify homework, check quiz solutions, or speed up real-world math tasks like scaling recipes and adjusting measurements.