Use this free converter to turn a fraction into a decimal, or a decimal into a simplified fraction, instantly — supports mixed numbers, negative values, and repeating decimals. No sign-up required.
Decimal value
0
Simplified fraction
0/1
Common fractions to decimals chart
| Fraction | Decimal | Fraction | Decimal |
|---|---|---|---|
| 1/2 | 0.5 | 1/8 | 0.125 |
| 1/3 | 0.333... | 3/8 | 0.375 |
| 2/3 | 0.667... | 5/8 | 0.625 |
| 1/4 | 0.25 | 7/8 | 0.875 |
| 3/4 | 0.75 | 1/16 | 0.0625 |
| 1/5 | 0.2 | 1/10 | 0.1 |
| 2/5 | 0.4 | 1/6 | 0.1667... |
| 3/5 | 0.6 | 5/6 | 0.8333... |
| 4/5 | 0.8 | 1/9 | 0.111... |
What is a fraction-to-decimal converter and why it matters
Fractions and decimals represent the exact same values, but each format is easier to work with in different situations — fractions are natural for cooking measurements and construction, while decimals are what calculators, spreadsheets, and most math problems expect. Converting between the two by hand means dividing (or finding a common denominator and simplifying), which is easy to get wrong under time pressure. This tool does both directions instantly: turn a fraction into its decimal equivalent, or turn a decimal into its simplest fraction form, including proper handling of mixed numbers and repeating decimals like 1/3 = 0.333...
How this tool works
For fraction to decimal, the calculator divides the numerator by the denominator and adds any whole number you enter, then also shows the equivalent percentage. For decimal to fraction, it converts your decimal into a fraction over a power of 10 based on its number of decimal places, then simplifies it by dividing both the numerator and denominator by their greatest common divisor (GCD), so you always get the fraction in lowest terms. If the result is greater than 1, it's also shown as a mixed number for convenience.
Common searches this tool answers
- Convert fraction to decimal
- Convert decimal to fraction
- What is 3/4 as a decimal?
- What is 0.75 as a fraction?
- Mixed number to decimal converter
- Fraction to percent calculator
How to use it
- Choose "Fraction → Decimal" or "Decimal → Fraction" depending on your starting point.
- For fractions: enter the numerator and denominator, plus a whole number if you have a mixed number.
- For decimals: enter the decimal value directly (negative numbers work too).
- Click the convert button to see your result, plus the equivalent percentage and (for decimals) the mixed number form.
- Use the reference chart below for the most commonly needed conversions without typing anything.
Frequently asked questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/4 becomes 3 divided by 4, which equals 0.75. For a mixed number like 2 1/4, convert the fractional part and add it to the whole number, giving 2.25.
How do you convert a decimal to a fraction?
Write the decimal as a fraction over a power of 10 matching its decimal places (0.75 becomes 75/100), then simplify by dividing both the numerator and denominator by their greatest common divisor, giving 3/4.
What is a repeating decimal?
A repeating decimal is one where a digit or group of digits repeats forever, like 1/3 = 0.333... This calculator rounds repeating decimals to a set number of digits and marks them so you know the true value continues.
Can this tool handle negative numbers?
Yes, both the fraction-to-decimal and decimal-to-fraction converters accept negative values and will show the correct sign in the result.
Why is my fraction not fully simplified?
This shouldn't happen — the calculator always reduces fractions to lowest terms by dividing both numbers by their greatest common divisor. If a result looks unsimplified, double check the numerator and denominator you entered.
Keywords
fraction to decimal converter, decimal to fraction converter, fraction to decimal calculator, mixed number to decimal, decimal to fraction calculator, simplify fraction calculator, fraction to percent converter, convert fraction online free, repeating decimal calculator
Related searches
- fraction to decimal chart
- 3/4 as a decimal
- 0.75 as a fraction
- mixed number to decimal calculator
- simplify fraction calculator
- decimal to fraction chart
