Fraction to Decimal Calculator
Convert a positive or negative fraction to a decimal by dividing its numerator by its denominator.
Fraction to Decimal Calculator
How it works
Formula and steps
The formula shows how the fraction to decimal calculator turns your inputs into the result. Use it to check the calculation, then follow the example steps to see each part of the math.
Formula & steps
Fraction to decimal formula
decimal = numerator ÷ denominator
Divide the top number by the nonzero bottom number.
numerator= Top number of the fractiondenominator= Nonzero bottom number of the fraction- 1Enter the numerator and denominator.
- 2Divide the numerator by the denominator.
- 3Display the exact terminating decimal or round a longer decimal to eight places.
- 4Use the simplified fraction shown to check the original value.
Worked examples
Common uses
- Converting fractions to decimals
- Comparing fractional values
- Checking division results
- Converting measurements
Common mistakes
- Dividing the denominator by the numerator instead of numerator by denominator.
- Treating a rounded repeating decimal as an exact terminating value.
- Using zero as the denominator.
Fraction guide
How to convert a fraction to a decimal
A fraction is a division problem: divide its numerator by its nonzero denominator to get the decimal value.
Divide numerator by denominator
For 3/8, calculate 3 divided by 8 to get the terminating decimal 0.375.
Terminating and repeating decimals
Some fractions end after a finite number of decimal places, while others produce a repeating sequence.
Displayed precision
Long decimal results are rounded to a maximum of eight decimal places, so a displayed repeating value is an approximation.
FAQ
Divide the numerator, or top number, by the denominator, or bottom number.
A reduced fraction repeats when its denominator contains prime factors other than only 2 and 5.
It shows up to eight decimal places and removes unnecessary trailing zeros.
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