Fraction Calculator
Enter each value as a whole part, numerator, and denominator. Use zero for the whole part when entering a simple fraction.
Example Data Table
| Fraction A | Operation | Fraction B | Exact Result | Mixed Result | Decimal |
|---|---|---|---|---|---|
| 1/2 | Add | 1/4 | 3/4 | 3/4 | 0.75 |
| 2 1/3 | Subtract | 3/4 | 19/12 | 1 7/12 | 1.5833 |
| 5/6 | Multiply | 3/5 | 1/2 | 1/2 | 0.5 |
| 7/8 | Divide | 1/4 | 7/2 | 3 1/2 | 3.5 |
Formula Used
1. Convert mixed numbers to improper fractions:
Improper Numerator = (Whole × Denominator) + Numerator
2. Addition:
a/b + c/d = (ad + bc) / bd
3. Subtraction:
a/b − c/d = (ad − bc) / bd
4. Multiplication:
a/b × c/d = ac / bd
5. Division:
a/b ÷ c/d = ad / bc
6. Simplification:
Divide numerator and denominator by their greatest common divisor.
7. Decimal conversion:
Decimal = Numerator ÷ Denominator
How to Use This Calculator
- Enter Fraction A using whole, numerator, and denominator fields.
- Enter Fraction B in the same way.
- Select addition, subtraction, multiplication, or division.
- Choose the decimal precision you want.
- Press Calculate Fractions.
- Review the exact fraction, mixed number, decimal, percent, and engineering ratio.
- Use the CSV button for spreadsheet records.
- Use the PDF button for printed calculation notes.
FAQs
1. What does this fraction calculator do?
It solves fraction addition, subtraction, multiplication, and division. It also converts results into simplified fraction, mixed number, decimal, percent, and ratio forms for practical engineering documentation.
2. Can I enter mixed numbers?
Yes. Enter the whole number, numerator, and denominator together. For a simple fraction, keep the whole number as zero.
3. Why is simplification important?
Simplified fractions are easier to verify, compare, and reuse. They reduce reporting errors and make dimensions, proportions, and design notes more readable.
4. What happens if I divide by zero?
The calculator blocks that action. A zero fraction cannot be used as a divisor because division would become mathematically undefined.
5. Why show decimal and percent values?
Engineering teams often compare fractions against tolerances, loads, fill levels, or material shares. Decimal and percent views make those comparisons faster.
6. What is the engineering ratio output?
It converts the result into a ratio style view. This is useful when expressing proportional relationships in design reviews or technical summaries.
7. What does the graph compare?
The chart compares the decimal values of Fraction A, Fraction B, and the final result. It helps users spot magnitude changes quickly.
8. Can I save the result for reports?
Yes. Export the result table as CSV for spreadsheets or PDF for printed records, job files, and engineering review packs.