Fraction to Decimal Calculator
Enter a fraction like 3/8, -7/12, or a mixed number like 1 3/4.
How to change a fraction to a decimal
To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 3/4 = 0.75 because 3 ÷ 4 = 0.75.
This calculator handles regular fractions, negative fractions, mixed numbers, and whole numbers. It also tells you whether your decimal is terminating or repeating.
Quick examples
| Fraction | Decimal | Type |
|---|---|---|
| 1/2 | 0.5 | Terminating |
| 2/3 | 0.(6) | Repeating |
| 7/8 | 0.875 | Terminating |
| 1 1/3 | 1.(3) | Repeating |
Step-by-step method
1) Identify numerator and denominator
In a fraction like 11/20, 11 is the numerator and 20 is the denominator.
2) Divide top by bottom
Perform the division: 11 ÷ 20 = 0.55.
3) Decide if it terminates or repeats
Some decimals end (like 0.55), while others repeat forever (like 1/3 = 0.3333...). Repeating digits are often shown in parentheses, such as 0.(3).
Mixed numbers and negative fractions
- Mixed number: 2 1/4 = 2.25
- Negative fraction: -5/8 = -0.625
- Negative mixed number: -1 1/2 = -1.5
The calculator automatically converts mixed numbers to improper fractions first, then computes the decimal.
Common mistakes to avoid
- Putting a zero in the denominator (undefined).
- Forgetting the negative sign when converting.
- Rounding too early during manual division.
- Confusing repeating decimals with rounded decimals.
Why this converter is useful
Fraction-to-decimal conversion is used in school math, engineering, construction measurements, finance, and data analysis. Being able to quickly convert values helps with comparisons and calculations.
FAQ
Can every fraction be written as a decimal?
Yes. Every fraction can be written as either a terminating decimal or a repeating decimal.
How do I know if a decimal terminates?
After simplifying the fraction, if the denominator’s prime factors are only 2 and/or 5, the decimal terminates.
Does this tool show exact repeating notation?
Yes. For repeating decimals, this calculator uses parentheses to show the repeating block, such as 0.(142857).