Fraction to Decimal Calculator

A fraction to decimal calculator divides the numerator by the denominator to give the decimal value. It uses exact long division, so it can tell whether the decimal stops or repeats forever. Repeating digits are marked with a bar, and a rounded value is also shown for everyday use.

Try:

How to use the fraction to decimal calculator

  1. Type a fraction such as 3/8, or a mixed number such as 2 3/4.
  2. Press Calculate.
  3. Read the exact decimal, with any repeating digits marked.

Formula

ab=a÷b\frac{a}{b} = a \div b

Worked example: 3/8

  • Fraction: 3/8

✓ Answer checked

0.3750.375
Step-by-step working (3 steps)

  1. Divide the top by the bottom Fraction as division

    A fraction means numerator ÷ denominator: 3 ÷ 8.

    38=3÷8\frac{3}{8} = 3 \div 8

  2. Long division

    The division ends with remainder 0, so the decimal terminates.

    0.3750.375

  3. Result

    This is the exact decimal value.

    38=0.375\frac{3}{8} = 0.375
Formulas used
ab=a÷b\frac{a}{b} = a \div b
How this was checked
  • ✓ Converting the decimal back to a fraction gives the original fraction.

Frequently asked questions

How do I convert a fraction to a decimal?

Divide the top number by the bottom number. For example, 3/8 = 3 ÷ 8 = 0.375.

Why do some fractions give repeating decimals?

If the simplified denominator has a prime factor other than 2 or 5, the division never ends, so a group of digits repeats. For example, 1/3 = 0.333….

What does the bar over the digits mean?

The bar shows which digits repeat forever. 0.8 with a bar over the 3 means 0.8333….

Related calculators

Decimal to Fraction Calculator

Convert any decimal to a fraction in simplest form, including repeating decimals like 0.333….

Fraction Calculator

Free fraction calculator for adding, subtracting, multiplying and dividing fractions and mixed numbers.

Percentage Calculator

Free percentage calculator: find X% of Y, what percent one number is of another, the whole from a part, or add and remove a percentage.