Calculator
Enter an improper fraction or any fraction. The converter will return mixed forms, decimals, percentages, and a chart.
Example Data Table
| Input Fraction | Simplified Fraction | Mixed Number | Decimal | Percent |
|---|---|---|---|---|
| 17/5 | 17/5 | 3 2/5 | 3.4 | 340% |
| 14/4 | 7/2 | 3 1/2 | 3.5 | 350% |
| 25/6 | 25/6 | 4 1/6 | 4.1667 | 416.67% |
| -11/3 | -11/3 | -3 2/3 | -3.6667 | -366.67% |
| 8/4 | 2/1 | 2 | 2.0 | 200% |
Formula Used
The calculator converts an improper fraction into several equivalent forms using division, simplification, and percentage rules.
- Simplify fraction:
gcd = gcd(|n|, |d|) - Simplified fraction:
n/gcdandd/gcd - Whole part:
floor(|n| / |d|) - Remainder:
|n| mod |d| - Mixed number:
whole remainder/dwith the original sign - Decimal:
n / d - Percent:
(n / d) × 100
If the denominator is negative, the sign is moved to the numerator so the final display remains consistent.
How to Use This Calculator
- Enter the numerator of your fraction.
- Enter a nonzero denominator.
- Choose how many decimal places you want in the decimal output.
- Choose how many decimal places you want in the percentage output.
- Pick either simplified mixed form or original remainder form.
- Select signed or absolute chart mode.
- Click Convert Fraction to generate the result.
- Review the table, worked steps, chart, and use the CSV or PDF buttons if needed.
Frequently Asked Questions
1) What is an improper fraction?
An improper fraction has a numerator equal to or greater than its denominator. Examples include 9/4, 7/7, and 15/8. This calculator can also process proper and negative fractions.
2) What does simplified mixed form mean?
It means the remainder fraction is reduced to lowest terms after division. For example, 14/4 becomes 3 1/2 instead of 3 2/4.
3) Can I enter negative fractions?
Yes. You can enter a negative numerator or denominator. The tool normalizes the sign, keeps the denominator positive, and shows the final mixed result with the correct sign.
4) Why does 8/4 return a whole number?
When the remainder is zero, the fraction converts exactly to an integer. That means the mixed number has no leftover fraction, so 8/4 becomes 2.
5) What does the percentage output represent?
It expresses the same fraction as parts per hundred. The calculator multiplies the decimal value by 100, so 9/4 becomes 225%.
6) Why are there two mixed-number outputs?
Original remainder form keeps the entered denominator, while simplified form reduces the fractional part. Both are correct and represent the same value. Your selected option becomes the primary answer.
7) What does the chart show?
The chart compares the whole part, fractional part, and decimal value. Signed mode keeps negative values below zero. Absolute mode displays size only.
8) Can I download my result?
Yes. After calculation, use the CSV button for spreadsheet-friendly data or the PDF button for a printable summary of the conversion result.