Fraction to Decimal Converter
Convert fractions to decimals.
Input
Result
What is a Fraction to Decimal Converter?
A Fraction to Decimal Converter performs the division of a fraction's numerator by its denominator and returns the decimal equivalent. It handles proper fractions, improper fractions, and mixed numbers, showing terminating decimals and repeating decimal patterns.
How to convert a fraction to a decimal manually (the formula)
Simply divide the numerator by the denominator. For example, a/b = a ÷ b. If the division ends with a remainder of zero, the decimal terminates. If a digit or group of digits repeats indefinitely, it is a repeating decimal.
Example calculation
Convert 3/8 to a decimal. 3 ÷ 8 = 0.375. The division terminates because the denominator 8 = 2³ has prime factors only of 2.
Common mistakes
- Dividing denominator by numerator — Always divide numerator by denominator, not the other way around.
- Rounding too early — Carry the division to enough decimal places before rounding to avoid inaccuracy.
- Not recognizing repeating decimals — If the same remainder appears twice, the decimal will repeat. Look for the repeating pattern.
Frequently asked questions
How do I convert a fraction to a decimal?
Divide the numerator by the denominator.
What is 1/2 as a decimal?
1/2 equals 0.5.
What is 1/3 as a decimal?
1/3 equals 0.333... (repeating).
Why do some fractions repeat and others terminate?
A fraction terminates if the denominator's prime factors are only 2 and 5.
What is a recurring decimal?
A recurring decimal has one or more digits that repeat infinitely.