Multiply Two Fractions Instantly
Enter integer values for each numerator and denominator, then click Calculate. The tool returns the raw product, simplified fraction, decimal value, and mixed number form.
What Is Fraction Multiplication?
Fraction multiplication means taking one fraction of another quantity. The rule is simple: multiply the top numbers (numerators) together, and multiply the bottom numbers (denominators) together. The result is another fraction, which you can simplify by dividing both parts by their greatest common divisor.
How to Use This Fraction Multiplication Calculator
- Type the numerator and denominator for the first fraction.
- Type the numerator and denominator for the second fraction.
- Click Calculate to compute the product.
- Review the simplified answer, decimal equivalent, and mixed-number form.
- Use Reset to return to default values.
The Formula
(a/b) × (c/d) = (a × c) / (b × d)
After computing this product, reduce the fraction:
simplified = (raw numerator ÷ GCD) / (raw denominator ÷ GCD)
Example 1
Multiply 2/3 × 5/7:
- Numerator: 2 × 5 = 10
- Denominator: 3 × 7 = 21
- Result: 10/21 (already simplified)
Example 2 (with Simplification)
Multiply 4/9 × 6/8:
- Raw product: 24/72
- GCD of 24 and 72 is 24
- Simplified result: 1/3
Common Mistakes to Avoid
- Adding denominators instead of multiplying them.
- Forgetting to simplify the final fraction.
- Using 0 as a denominator (undefined).
- Dropping the negative sign when one fraction is negative.
Why This Tool Helps
If you are working through homework, preparing for standardized tests, or checking classroom examples, this calculator saves time and helps verify each step. You get both exact fractional output and decimal form, making it useful in math, science, and everyday calculations.
Quick Practice Problems
- 3/4 × 2/5
- 7/8 × 4/21
- -5/6 × 3/10
- 9/11 × 11/9
Try them in the calculator above and compare your manual work with the computed result.