» Fraction to Decimal Calculator


Convert fractions to decimals or decimals to fractions, including mixed numbers and repeating decimals like 0.(3). Useful for math, measurements, and homework. Free.

Convert a fraction to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. This calculator also works in reverse, so you can convert a decimal to a simplified fraction, including repeating decimals such as 0.(3) = 1/3.

Use the fraction fields for questions like 1/8 as a decimal, 5/16 as a decimal, or 2 3/4 as a decimal. Use the decimal field for reverse conversions such as 0.375 = 3/8, 1.25 = 1 1/4, or 0.1(6) = 1/6. You can type repeating decimals with parentheses, for example 0.(3), 0.1(6), or 0,(3).

How to Convert a Fraction to a Decimal

  1. Use the numerator as the number being divided.
  2. Use the denominator as the number you divide by.
  3. Calculate numerator / denominator.

Example: 7/8 becomes 7 ÷ 8 = 0.875.

Repeating Decimal to Fraction

For repeating decimals, put the repeating digits in parentheses. Examples: 0.(3) means 0.333..., 0.(6) means 0.666..., and 0.58(3) means 0.58333.... This gives exact fraction results instead of rounded approximations.

Common Fraction to Decimal Chart

Fraction Decimal Fraction Decimal
1/20.51/30.333...
2/30.666...1/40.25
3/40.751/50.2
1/80.1253/80.375
5/80.6257/80.875
1/100.11/120.08333...
1/160.06255/160.3125

$$\frac{a}{b} = x$$

Tip: The conversion works both ways! Repeating decimals: use 33.(3) or 33,(3).

Fraction to Decimal Calculator FAQ

How do you convert a fraction to a decimal?

Divide the numerator by the denominator. Example: 3/4 means 3 ÷ 4, so 3/4 = 0.75. For an improper fraction such as 7/4, divide the same way: 7 ÷ 4 = 1.75.

How do you convert a mixed number to a decimal?

Convert the mixed number to an improper fraction, then divide. Formula: a b/c = (a × c + b) / c. Example: 2 3/4 becomes (2 × 4 + 3) / 4 = 11/4, and 11/4 = 2.75.

How do you convert a decimal to a fraction?

Write the decimal over a power of 10, then simplify. Example: 0.375 has three decimal places, so 0.375 = 375/1000. Divide top and bottom by 125 to get 3/8.

Can I convert a repeating decimal to a fraction?

Yes. Type the repeating digits in parentheses. For example, enter 0.(3) for 0.333..., which converts exactly to 1/3. You can also enter values such as 0.1(6) for 0.1666... or use a comma decimal separator such as 0,(3).

What are common fraction to decimal conversions?

Useful values include 1/2 = 0.5, 1/3 = 0.333..., 1/4 = 0.25, 3/4 = 0.75, 1/8 = 0.125, 3/8 = 0.375, 5/8 = 0.625, and 7/8 = 0.875.

Should I simplify a fraction before converting it to a decimal?

It is optional. Simplifying first can make hand calculation easier, but the decimal value is the same. Example: 6/12 simplifies to 1/2, and both convert to 0.5.

Why do some fractions become repeating decimals?

A fraction has a terminating decimal only when its simplified denominator contains no prime factors except 2 and 5. Denominators such as 3, 6, 7, 9, 11, and 12 often create repeating decimals. Example: 1/3 = 0.333... and 1/6 = 0.1666....

How are fraction-decimal conversions used in measurements?

Fraction and decimal conversion is common in inch measurements, recipes, school math, and engineering. Examples: 1/16 = 0.0625, 5/16 = 0.3125, 3/8 = 0.375, and 7/16 = 0.4375.


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