Calculator Form
Use one fraction for analysis only, or add a second fraction to perform arithmetic.
Example Data Table
These sample entries show how the calculator handles conversion and optional fraction operations.
| Fraction A | Operation | Fraction B | Simplified Result | Mixed Number | Decimal |
|---|---|---|---|---|---|
| 11/4 | Analyze only | — | 11/4 | 2 3/4 | 2.7500 |
| 13/5 | Add | 7/10 | 33/10 | 3 3/10 | 3.3000 |
| 19/6 | Subtract | 5/3 | 3/2 | 1 1/2 | 1.5000 |
| 9/4 | Multiply | 8/3 | 6 | 6 | 6.0000 |
| 15/8 | Divide | 5/4 | 3/2 | 1 1/2 | 1.5000 |
Formula Used
Simplified fraction = Numerator ÷ GCD and Denominator ÷ GCD
Whole part = floor(|Numerator| ÷ Denominator)
Remainder = |Numerator| mod Denominator
Mixed number = Whole part and Remainder/Denominator
Decimal = Numerator ÷ Denominator
Percentage = Decimal × 100
Addition = (n1×d2 + n2×d1) ÷ (d1×d2)
Subtraction = (n1×d2 - n2×d1) ÷ (d1×d2)
Multiplication = (n1×n2) ÷ (d1×d2)
Division = (n1×d2) ÷ (d1×n2)
How to Use This Calculator
- Enter the numerator and denominator for Fraction A.
- Select Analyze only if you want conversion results for one improper fraction.
- Select add, subtract, multiply, or divide when you want to use Fraction B.
- Enter Fraction B values when an operation is chosen.
- Pick the number of decimal places for rounded output.
- Click Calculate Improper Fractions to display the result section above the form.
- Use the CSV or PDF buttons to export the visible report.
- Review the Plotly graph for value comparison or fraction decomposition.
Frequently Asked Questions
1. What is an improper fraction?
An improper fraction has a numerator greater than or equal to its denominator. Its value is one or more whole units, unlike a proper fraction.
2. Can this calculator convert improper fractions into mixed numbers?
Yes. It separates the whole part and remainder automatically, then shows the mixed-number form beside simplified, decimal, and percentage outputs.
3. Does the tool simplify fractions first?
Yes. Every result is reduced using the greatest common divisor, so the simplified fraction always appears in lowest terms.
4. Can I use negative improper fractions?
Yes. Negative numerators or denominators are supported. The calculator normalizes the sign and still shows valid mixed-number and decimal forms.
5. What happens if I choose an operation?
The calculator reads Fraction B, performs the selected arithmetic, simplifies the result, converts it to mixed form, and graphs the values.
6. Why is my reciprocal shown as undefined?
A zero-valued fraction has no reciprocal because dividing by zero is undefined. The tool flags that case automatically.
7. Are the CSV and PDF files based on current results?
Yes. The export buttons use the currently displayed calculation summary, so the downloaded files match the visible report data.
8. Does this calculator work for proper fractions too?
Yes. Although designed for improper fractions, it also handles proper fractions, whole-number equivalents, and zero-valued fractions correctly.