Fraction to Decimal Calculator
The whole number is optional. Leave it blank for a plain fraction like 3/8.
To turn a fraction into a decimal, divide the top number by the bottom number. This calculator does that with the long division shown, gives the percent and the simplest form, marks repeating decimals with a bar, and also works backwards, turning any decimal into a fraction.
The fraction bar is a division sign
Common Fractions as Decimals and Percents
A bar over a digit means it repeats forever: 0.3 is 0.333….
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.3 | 33.3% |
| 2/3 | 0.6 | 66.6% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/6 | 0.16 | 16.6% |
| 1/7 | 0.142857 | ≈ 14.29% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 1/9 | 0.1 | 11.1% |
| 1/10 | 0.1 | 10% |
| 1/12 | 0.083 | 8.3% |
| 1/16 | 0.0625 | 6.25% |
See every fraction from halves to sixteenths, searchable and printable, in the Fraction to Decimal Chart.
Look at the Denominator
Simplify first. If the denominator's only prime factors are 2 and 5, the decimal ends. Any other prime factor makes it repeat.
Decimal to Fraction
Read the decimal out loud: 0.375 is "375 thousandths", which is already a fraction.
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Write It Over a Power of 10
One zero for each decimal place: 0.375 has 3 places, so it's 375/1000.
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Find the GCF
The greatest common factor of 375 and 1000 is 125. The GCF calculator shows how.
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Divide Top and Bottom
375 ÷ 125 = 3 and 1000 ÷ 125 = 8, so 0.375 = 3/8.
Fractions on a 4 Function Calculator
A basic calculator has no fraction key, but the ÷ key does the conversion. Repeating decimals get cut off at the edge of the display.
3/8 as a Decimal
3/8 as a Percent
Mixed Number 2 3/4
Walk through both directions, including repeating decimals, in How to Convert Fractions to Decimals (and Back).
Frequently Asked Questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. 3/8 means 3 ÷ 8 = 0.375. By hand, use long division: add a decimal point and zeros after the 3 and keep dividing.
How do you convert a decimal to a fraction?
Write the digits after the point over 10, 100 or 1000 (one zero per decimal place), then simplify. 0.375 = 375/1000, and dividing both by their GCF of 125 gives 3/8.
Why do some fractions give repeating decimals?
A simplified fraction ends only if its denominator has no prime factors other than 2 and 5. 3/8 ends because 8 = 2 × 2 × 2. 5/6 repeats (0.8333…) because 6 = 2 × 3: the division keeps landing on the same remainder.
How do you turn a repeating decimal into a fraction?
Use algebra to cancel the repeating part. For x = 0.1666…, 100x = 16.666… and 10x = 1.666…. Subtracting gives 90x = 15, so x = 15/90 = 1/6. For one repeating digit, put it over 9: 0.333… = 3/9 = 1/3.
How do you simplify a fraction?
Divide the numerator and denominator by their greatest common factor. For 18/24 the GCF is 6, so 18/24 = 3/4. It's in simplest form when only 1 divides both parts.
How do you convert a fraction to a percent?
Convert it to a decimal and multiply by 100. 3/8 = 0.375, and 0.375 × 100 = 37.5%. On a calculator, press 3 ÷ 8 × 100 =.