Decimal to Fraction
Convert a decimal to a fraction in lowest terms and see the working: 0.75 = 3/4, 2.75 = 11/4 or 2 3/4, and 0.333… (3 repeating) = 1/3. How it works
Use the Decimal to Fraction
About the Decimal to Fraction
0.375 as a fraction is 3/8: write it as 375/1000 and divide both numbers by 125. This decimal to fraction calculator reduces any decimal that way with exact arithmetic and shows the working. It gives a mixed number for values of 1 or more (2.75 = 2 3/4), shows a whole number such as 2 as 2 and converts repeating decimals when you enter the repeating digits (0.333… = 1/3).
Common decimals as fractions
| Decimal | Fraction in lowest terms |
|---|---|
| 0.05 | 1/20 |
| 0.1 | 1/10 |
| 0.125 | 1/8 |
| 0.2 | 1/5 |
| 0.25 | 1/4 |
| 0.375 | 3/8 |
| 0.4 | 2/5 |
| 0.5 | 1/2 |
| 0.6 | 3/5 |
| 0.625 | 5/8 |
| 0.75 | 3/4 |
| 0.8 | 4/5 |
| 0.875 | 7/8 |
| 1.25 | 5/4 = 1 1/4 |
| 1.5 | 3/2 = 1 1/2 |
| 2.75 | 11/4 = 2 3/4 |
| 3.125 | 25/8 = 3 1/8 |
For a value of 1 or more, the calculator also gives the mixed number shown after the equals sign.
Repeating decimals, and the same digits cut short
| Decimal | What to type | Fraction |
|---|---|---|
| 0.333… (3 repeats) | Decimal 0, repeating 3 | 1/3 |
| 0.333 (ends) | Decimal 0.333 | 333/1000 |
| 0.666… (6 repeats) | Decimal 0, repeating 6 | 2/3 |
| 0.666 (ends) | Decimal 0.666 | 333/500 |
| 0.1666… (6 repeats) | Decimal 0.1, repeating 6 | 1/6 |
| 0.8333… (3 repeats) | Decimal 0.8, repeating 3 | 5/6 |
| 0.111… (1 repeats) | Decimal 0, repeating 1 | 1/9 |
| 0.0909… (09 repeats) | Decimal 0, repeating 09 | 1/11 |
| 0.142857… (142857 repeats) | Decimal 0, repeating 142857 | 1/7 |
A decimal typed without repeating digits is taken to end where you stop, which is why 0.333 is 333/1000 and not 1/3.
Inch fractions in sixteenths
| Sixteenths | Decimal inches | Reduced fraction |
|---|---|---|
| 1/16 | 0.0625 | 1/16 |
| 2/16 | 0.125 | 1/8 |
| 3/16 | 0.1875 | 3/16 |
| 4/16 | 0.25 | 1/4 |
| 5/16 | 0.3125 | 5/16 |
| 6/16 | 0.375 | 3/8 |
| 7/16 | 0.4375 | 7/16 |
| 8/16 | 0.5 | 1/2 |
| 9/16 | 0.5625 | 9/16 |
| 10/16 | 0.625 | 5/8 |
| 11/16 | 0.6875 | 11/16 |
| 12/16 | 0.75 | 3/4 |
| 13/16 | 0.8125 | 13/16 |
| 14/16 | 0.875 | 7/8 |
| 15/16 | 0.9375 | 15/16 |
How to use this tool
- Type the decimal, or tap a preset such as 0.125 or 2.75.
- If digits repeat forever, type the part before the repeat as the decimal and the repeating block in Repeating digits: 0.1 and 6 for 0.1666…
- Read the fraction, the mixed number if there is one, and the working underneath. Copy Fraction copies it as text, such as 3/4.
Frequently asked questions
- What is 0.375 as a fraction?
- 3/8. 0.375 is 375/1000, and both numbers divide by 125. The other eighths are 0.125 = 1/8, 0.625 = 5/8 and 0.875 = 7/8.
- How do I convert a decimal to a fraction?
- Count the decimal places, write the digits over 1 followed by that many zeros, and reduce. 0.75 has two places, so it is 75/100. The greatest common divisor of 75 and 100 is 25, which gives 3/4.
- What is 0.33 or 0.67 as a fraction?
- Exactly as typed, 0.33 is 33/100 and 0.67 is 67/100. If you mean one third or two thirds, the digits repeat forever: set the decimal to 0 and put 3 or 6 in the Repeating digits field to get 1/3 or 2/3.
- How do I convert a repeating decimal to a fraction?
- Put the repeating block over as many 9s as it has digits, then reduce: 0.666… is 6/9 = 2/3, and 0.142857… is 142857/999999 = 1/7. When other digits come first, as in 0.1666…, the calculator uses (NR − N) ÷ (10^k × (10^r − 1)), which here is 15/90 = 1/6.
- How do I write a decimal as a mixed number?
- Keep the whole part and convert the rest. 2.75 is 2 and 0.75, so 2 3/4, and as an improper fraction it is 11/4. The calculator shows both for any value of 1 or more.
- What fraction of an inch is 0.3125?
- 5/16. The sixteenths run 0.0625 = 1/16, 0.125 = 1/8, 0.1875 = 3/16, 0.25 = 1/4, 0.3125 = 5/16 and on up to 0.9375 = 15/16.
Related Tools
View all toolsMixed Number Calculator
Add, subtract, multiply or divide two mixed numbers. The answer comes as a mixed number, an improper fraction and a decimal, with each step written out.
Long Division Calculator
Long division of two numbers with every step shown: quotient, remainder, exact fraction, the decimal with its repeating digits marked, and the working.
Fraction Calculator
Add, subtract, multiply or divide two fractions or mixed numbers. Exact answer in lowest terms, with mixed number, decimal and the steps.
Rounding Calculator
Round a number to decimal places, significant figures, a whole number, a ten or hundred, or a multiple such as 5 or 0.25: 123.456789 to 2 places is 123.46.
Betting Odds Calculator
Convert betting odds between American, decimal and fractional formats, see the implied probability, and get the profit and total return on a stake.
Prime Number Checker
Type a whole number below 3.3 × 10^24 to see whether it is prime. A composite gets its smallest prime factor, and the five primes on either side are listed.