Decimal to Fraction Conversion Calculator
Convert any decimal to a fraction and any fraction to a decimal in one click. This free tool also handles repeating (recurring) decimals, inch fractions down to 1/64", binary fractions and percentages — with a built-in decimal-fraction-percent chart for quick reference.
Decimal ⇄ Fraction Conversion Calculator
Convert decimals to fractions and fractions to decimals — plus repeating decimals, inches, binary fractions and percentages.
Decimal · Fraction · Percent conversion chart
| Fraction | Decimal | Percent |
|---|---|---|
| 1/16 | 0.0625 | 6.25% |
| 1/10 | 0.1 | 10% |
| 1/8 | 0.125 | 12.5% |
| 1/6 | 0.1667 | 16.67% |
| 1/5 | 0.2 | 20% |
| 1/4 | 0.25 | 25% |
| 1/3 | 0.3333 | 33.33% |
| 3/8 | 0.375 | 37.5% |
| 2/5 | 0.4 | 40% |
| 1/2 | 0.5 | 50% |
| 5/8 | 0.625 | 62.5% |
| 2/3 | 0.6667 | 66.67% |
| 3/4 | 0.75 | 75% |
| 7/8 | 0.875 | 87.5% |
| 1/1 | 1.0 | 100% |
How to convert decimals and fractions
Converting a decimal to a fraction
Write the decimal digits over their place value, then reduce to lowest terms by dividing the top and bottom by their greatest common divisor.
0.375 → 375/1000 → ÷125 → 3/8
2.25 → 2 + 25/100 → 2 1/4 (= 9/4)
Converting a fraction to a decimal
Divide the numerator by the denominator.
5/8 → 5 ÷ 8 = 0.625
2/3 → 2 ÷ 3 = 0.6667 (rounded)
Converting a repeating decimal to a fraction
A repeating decimal is exactly equal to a fraction. Tick the repeating-decimal option and mark the repeating digits with a |. For example 0.|3 means 0.333…
0.1|6 (0.1666…) → 1/6
0.|142857 → 1/7
Steps in this calculator
- Choose a conversion mode at the top (Decimal → Fraction, Fraction → Decimal, Inches, Binary or Percent).
- Type your value into the field. For repeating decimals, tick the box and use the
|marker. - Press the Convert button — the result shows the simplified fraction, improper fraction, decimal and percent as relevant.
- Open the conversion chart for common decimal-fraction-percent values.
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Frequently asked questions
How do you convert a decimal to a fraction?
How do you convert a repeating decimal to a fraction?
|, e.g. 0.|3 or 0.1|6.How do you convert a fraction to a decimal?
What is 0.625 as a fraction?
How do I convert a binary fraction like 101.101 to decimal?
Can it convert decimal inches to a fraction?
Decimal to fraction conversion chart
A quick-reference decimal, fraction and percent chart for the most common values, plus an inch fraction chart down to 1/16" for engineering and machining work.
Fraction · Decimal · Percent
| Fraction | Decimal | Percent |
|---|---|---|
| 1/16 | 0.0625 | 6.25% |
| 1/10 | 0.1 | 10% |
| 1/8 | 0.125 | 12.5% |
| 1/6 | 0.1667 | 16.67% |
| 1/5 | 0.2 | 20% |
| 1/4 | 0.25 | 25% |
| 1/3 | 0.3333 | 33.33% |
| 3/8 | 0.375 | 37.5% |
| 2/5 | 0.4 | 40% |
| 1/2 | 0.5 | 50% |
| 3/5 | 0.6 | 60% |
| 5/8 | 0.625 | 62.5% |
| 2/3 | 0.6667 | 66.67% |
| 3/4 | 0.75 | 75% |
| 4/5 | 0.8 | 80% |
| 7/8 | 0.875 | 87.5% |
| 1/1 | 1.0 | 100% |
Inch fraction · Decimal · mm
| Inch | Decimal" | mm |
|---|---|---|
| 1/64 | 0.0156 | 0.397 |
| 1/32 | 0.0313 | 0.794 |
| 1/16 | 0.0625 | 1.588 |
| 1/8 | 0.125 | 3.175 |
| 3/16 | 0.1875 | 4.763 |
| 1/4 | 0.25 | 6.35 |
| 5/16 | 0.3125 | 7.938 |
| 3/8 | 0.375 | 9.525 |
| 7/16 | 0.4375 | 11.113 |
| 1/2 | 0.5 | 12.7 |
| 9/16 | 0.5625 | 14.288 |
| 5/8 | 0.625 | 15.875 |
| 11/16 | 0.6875 | 17.463 |
| 3/4 | 0.75 | 19.05 |
| 7/8 | 0.875 | 22.225 |
| 1 | 1.0 | 25.4 |
