Fraction to Decimal Calculator
Convert any fraction (numerator/denominator) to a decimal number.
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How to use this tool
- Enter numerator and denominator in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your decimal and the full breakdown beneath it.
Divide the numerator by the denominator to convert a fraction to a decimal.
Formula
Decimal = numerator ÷ denominator
decimal = numerator / denominator
How it works
This calculator converts a fraction to its decimal equivalent by performing straightforward division of the numerator by the denominator. Terminating decimals (such as 3/4 = 0.75) are represented exactly, while repeating decimals (such as 1/3 ≈ 0.3333) are shown to the precision of standard floating-point arithmetic. The denominator must not be zero.
Worked example
- Enter numerator = 3 and denominator = 4.
- Decimal = 3 ÷ 4 = 0.75.
Decimal = 0.75.
Common mistakes to avoid
- Dividing denominator by numerator (flipping the fraction) and getting the reciprocal decimal instead.
- Entering a mixed number without converting first (e.g. entering numerator=1 denominator=3 for 1 3/4 instead of 7/4).
- Rounding a repeating decimal prematurely, losing precision when the result feeds into further calculations.
Key terms
- Numerator
- The top number of a fraction, representing how many parts are taken.
- Denominator
- The bottom number of a fraction, representing the total number of equal parts the whole is divided into.
- Terminating decimal
- A decimal that ends after a finite number of digits, such as 0.75 or 0.5.
- Repeating decimal
- A decimal whose digits repeat infinitely in a regular pattern, such as 0.333... for 1/3.
Frequently asked questions
- How do you convert a fraction to a decimal?
- Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.