Decimals are easier to compare and enter into calculators, while fractions are exact. Knowing whether a fraction gives a terminating decimal (3/8 = 0.375) or a repeating one (5/12 = 0.41666…) helps you decide how to write it.
How to use the Fraction to Decimal Converter
- Fraction form
- Whole number
- Numerator (n)
- Denominator (d)
- Round to
Everything is calculated in your browser, so results appear instantly and nothing you type is sent to a server.
How it works
Exact long division gives the full expansion; the repeating part is detected when a remainder recurs. The rounded value uses the number of places you select.
Formula
Decimal = numerator ÷ denominator
Worked example
Inputs: Fraction form: Simple fraction; Numerator (n): 5; Denominator (d): 12; Round to: Full precision.
Results: Decimal conversion = 0.416666666667; Exact value (repeating block in brackets) = 0.41(6); Type of decimal = Repeating decimal; Percentage = 41.66666667%.
Key terms
- Terminating decimal
- A decimal that ends.
Frequently asked questions
What is 5/12 as a decimal?
0.41666…, written 0.41(6).
Why do some fractions repeat?
Their denominator (in lowest terms) has prime factors other than 2 and 5.
How do I convert a mixed number?
Convert the fractional part and add the whole number: 2 5/12 = 2.41666…
How many decimal places should I use?
As many as your measurement precision justifies.