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Decimal to Fraction Calculator

Convert any decimal, including repeating decimals, to a simplified fraction and mixed number, add, subtract, multiply or divide fractions and mixed numbers, and do exact decimal arithmetic.

Updated November 4, 2026. Free, no sign-up; everything runs in your browser and nothing you type is stored.

Decimal to fraction calculator

Fraction
–
–Mixed number
–Percent
–Closest simple fraction

Fraction calculator (mixed numbers too)

Answer
–
–Improper fraction
–Decimal

Fraction to decimal and decimal calculator

–Decimal (repeating part in brackets)
–Exact result

How to convert a decimal to a fraction

  1. Write the decimal over 1 followed by as many zeros as it has decimal places: 0.375 = 375/1000.
  2. Divide top and bottom by their greatest common factor (125): 3/8.
  3. For a number above 1, the whole part becomes the mixed number's whole part: 2.75 = 275/100 = 11/4 = 2 3/4.

Repeating decimals: 0.333… = 1/3 and 0.1666… = 1/6. To convert 0.(3) by hand, let x = 0.333…, so 10x = 3.333…; subtract to get 9x = 3, x = 1/3. Type repeating digits in brackets above, e.g. 0.(142857) = 1/7. If you only have a rounded decimal like 3.14159, the closest simple fraction with a denominator up to 1,000 is 355/113.

Mixed number calculator and mixed fraction calculator

To add mixed numbers, convert to improper fractions, use a common denominator, then convert back: 1 1/2 + 2 2/3 = 3/2 + 8/3 = 9/6 + 16/6 = 25/6 = 4 1/6. To multiply, multiply tops and bottoms (1 1/2 × 2 2/3 = 3/2 × 8/3 = 4); to divide, flip the second fraction and multiply. The fraction calculator above does all four and simplifies the answer.

Decimal calculator without rounding errors

Computers store most decimals in binary, which is why some calculators show 0.1 + 0.2 = 0.30000000000000004. This decimal calculator works with exact fractions, so 0.1 + 0.2 = 0.3, and division shows the repeating part: 5/12 = 0.41(6).

Common questions

What is 0.375 as a fraction?

3/8.

What is 2.75 as a mixed number?

2 3/4 (11/4).

How do I convert a repeating decimal to a fraction?

0.(3) = 1/3: if x = 0.333…, then 10x − x = 3, so x = 3/9 = 1/3.

What is 1 1/2 + 2 2/3?

4 1/6.

What is 5/12 as a decimal?

0.41666…, written 0.41(6).

Sources

Related

General information, not financial, tax or legal advice. Check important numbers with the official source before acting on them.