Formula used
A decimal equals the numerator divided by the denominator. Mixed numbers first become improper fractions. This keeps every conversion consistent and mathematically correct.
Decimal = Numerator ÷ Denominator Mixed decimal = Whole number + (Numerator ÷ Denominator) Percentage = Decimal × 100
How to use this calculator
- Select a fraction input method.
- Enter the whole number or fraction values.
- Choose rounding and repeating-decimal options.
- Enable steps, percentages, or long division.
- Select Convert fraction to calculate.
- Copy, print, or download the result.
Terminating and repeating decimals
A simplified denominator determines the decimal type. Factors containing only two and five terminate. Other prime factors create repeating decimal digit cycles.
The converter detects the recurring section automatically. It also reports the cycle length. Choose parentheses, overline, or ellipsis notation for display.
Example data table
| Fraction | Decimal | Percentage | Type |
|---|---|---|---|
| 1/2 | 0.5 | 50% | Terminating |
| 3/4 | 0.75 | 75% | Terminating |
| 1/3 | 0.(3) | 33.333…% | Repeating |
| 7/8 | 0.875 | 87.5% | Terminating |
| 5/6 | 0.8(3) | 83.333…% | Repeating |
| 11/4 | 2.75 | 275% | Improper fraction |
Frequently asked questions
It divides the numerator by the denominator. The result may terminate or repeat. Both forms represent exactly the same numerical value.
No fraction may use a zero denominator. Division by zero remains undefined. The calculator blocks this invalid mathematical operation immediately.
Yes, negative numerators or denominators are supported. Signs are normalized before calculation. The displayed fraction keeps one clear negative sign.
Yes, enter whole and fractional parts separately. The calculator creates an improper fraction. It then divides using the simplified fraction values.
A terminating decimal ends after finite digits. Its simplified denominator uses factors two and five. Examples include one-half, three-quarters, and seven-eighths fractions.
A repeating decimal contains a recurring digit pattern. Its simplified denominator has other prime factors. One-third produces the familiar repeating digit three forever.
Rounding limits the displayed decimal digit count. The exact fraction remains unchanged. A warning appears whenever rounding changes numerical precision.
The decimal value is multiplied by one hundred. A percent sign is then added. This expresses the fraction as parts per hundred.
Yes, use the batch conversion tool. Enter one fraction on each line. Every valid line receives its own complete conversion.
Yes, use the decimal-to-fraction tool provided. Set a maximum allowed denominator. The calculator returns a practical simplified fractional approximation.
Yes, CSV and PDF controls are included. Printing also creates browser PDF files. Copy buttons save results and calculation steps quickly.