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Fraction to Decimal Calculator

Convert any fraction to its decimal equivalent instantly — handles terminating and repeating results.

Decimal value
0.375
3 ÷ 8 = 0.375. A fraction is simply the numerator divided by the denominator. The result may be a terminating decimal (e.g. 1 ÷ 4 = 0.25) or a repeating decimal (e.g. 1 ÷ 3 = 0.333…).

How it works

  1. 1Enter the numerator (top number) and denominator (bottom number) of your fraction.
  2. 2The calculator divides numerator ÷ denominator and displays up to 6 decimal places.
  3. 3If the denominator is 0 the result is undefined; any other inputs — including negatives — are valid.

Use cases

  • Converting recipe measurements such as 3⁄8 cup to a decimal for a digital scale.
  • Checking whether a fraction like 1⁄7 produces a repeating or terminating decimal.
  • Simplifying grade calculations where scores are expressed as fractions.

Frequently asked questions

What is the difference between a terminating and a repeating decimal?

A terminating decimal ends after finitely many digits (1 ÷ 4 = 0.25). A repeating decimal has digits that recur infinitely (1 ÷ 3 = 0.333…). It terminates only when the denominator’s prime factors are just 2s and 5s; any other prime causes repetition.

Why is dividing by zero undefined?

No number multiplied by 0 can equal a non-zero numerator, so n ÷ 0 has no value and is left undefined.

Can I enter negative numbers or decimals?

Yes. The calculator accepts any real number for both fields. A single negative gives a negative result; two negatives cancel to a positive, following standard division rules.

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