Calculator Inputs
Example Data Table
Use this sample to verify the calculator output and understand the result layout.
| Fraction A | Fraction B | Fraction C | Unsimplified Product | Simplified Product | Decimal |
|---|---|---|---|---|---|
| 1/2 | 3/4 | 2/5 | 6/40 | 3/20 | 0.150000 |
| 1 1/3 | -2/7 | 3/2 | -12/42 | -2/7 | -0.285714 |
Formula Used
1. Convert mixed numbers to improper fractions:
Improper Numerator = (Whole × Denominator) + Numerator
Signed Fraction = ± Improper Numerator / Denominator
2. Multiply all numerators together.
3. Multiply all denominators together.
4. Simplify using the greatest common divisor.
5. Convert to decimal with Numerator ÷ Denominator.
This structure supports simple fractions, mixed numbers, improper fractions, negative values, and an optional third fraction for extended practice.
How to Use This Calculator
- Enter Fraction A and Fraction B using whole, numerator, and denominator fields.
- Choose positive or negative signs when needed.
- Enable Fraction C if you want to multiply three fractions together.
- Choose whether the main answer should stay simplified.
- Set your preferred decimal precision.
- Press Multiply Fractions to generate the result section above the form.
- Review the table, worked steps, and Plotly graph.
- Use the CSV and PDF buttons to export your results.
FAQs
1. Can this calculator multiply mixed numbers?
Yes. Enter the whole number, numerator, and denominator for each value. The calculator converts each mixed number into an improper fraction before multiplying.
2. Does it work with negative fractions?
Yes. Use the sign selector for any fraction. The final sign follows the normal multiplication rule: an odd number of negatives gives a negative result.
3. Why does the calculator show improper and mixed forms?
Improper fractions are easier for exact multiplication. Mixed forms help with interpretation. Showing both gives a better learning view and a cleaner final presentation.
4. What is cross-cancellation?
Cross-cancellation reduces common factors between a numerator and another denominator before full multiplication. It keeps numbers smaller and helps you see simplification opportunities early.
5. Can I multiply three fractions at once?
Yes. Switch on Fraction C to include a third factor. When the option stays off, the calculator uses 1 as the third value.
6. Why might the decimal repeat?
Some fractions produce repeating decimals, such as 1/3 or 2/7. The calculator rounds the decimal output to the number of places you choose.
7. What happens if I enter a whole number only?
A whole number is treated as that number over 1. For example, entering 3 with a zero numerator becomes 3/1 during multiplication.
8. When should I use the export buttons?
Use CSV for spreadsheet work or saved records. Use PDF when you want a clean summary for printing, class notes, or sharing.