Fraction Calculator
Add, subtract, multiply, divide and raise fractions and mixed numbers exactly, with simplification steps and decimal conversions.
This guide is not yet available in your language and is shown in English.
Tool guide
What this tool does
The Fraction Calculator performs exact arithmetic on fractions, mixed numbers and decimals, including repeating decimals such as 0.(3). Every answer is reduced to lowest terms and shown as a fraction, mixed number, exact decimal with the repeating block marked, and percentage, alongside the working.
Fractions are exact where decimals often are not: one third is precisely 1/3, but 0.333 is only an approximation. Working with fractions by hand means finding common denominators, multiplying across, flipping divisors and reducing the answer, and an error at any of those steps carries through to the end.
This calculator keeps every value as an exact ratio of two arbitrary-precision integers, so no rounding happens at any stage. Addition and subtraction use the least common multiple of the denominators, division multiplies by the reciprocal, and the result is reduced by the greatest common divisor. You can type proper or improper fractions, mixed numbers like 2 1/3, decimals like 0.125, scientific notation, or repeating decimals written with brackets, so 0.1(6) is read as 0.1666… = 1/6. All of this happens in your browser.
How to use Fraction Calculator
- Choose Calculate with two fractions, or Simplify or convert one value.
- Type the first fraction, for example 2 1/3 (a space separates the whole part), 7/4 or 0.75.
- Pick the operation: add, subtract, multiply, divide or power with a whole-number exponent.
- Type the second fraction and read the simplified answer, mixed number, decimal and percentage.
- Follow the numbered steps to see the common denominator, the reciprocal or the GCD used to simplify.
Tips for better results
- To convert a decimal to a fraction, use the single-value mode: 0.375 becomes 3/8 and 0.(142857) becomes 1/7.
- A fraction has a terminating decimal only when its reduced denominator has no prime factors other than 2 and 5.
- Negative mixed numbers apply the sign to the whole value: -1 3/4 means −1.75, not −1 + 3/4.
- Copy any result card straight into homework or a spreadsheet.
Common use cases
- Checking fraction homework and showing the method.
- Scaling recipe quantities like 2/3 cup × 1 1/2.
- Adding imperial measurements such as 5/8 inch + 3/16 inch in woodworking.
- Converting recurring decimals from a calculator back into exact fractions.
Common mistakes to avoid
- Adding numerators and denominators directly: 1/2 + 1/3 is 5/6, not 2/5.
- Forgetting to flip the second fraction when dividing.
- Converting mixed numbers wrongly: 2 1/3 is 7/3, not 3/3 or 2/3.
Frequently asked questions
How do you add fractions with different denominators?
Rewrite both over the least common multiple of the denominators, then add the numerators. For 2 1/3 + 5/6: 7/3 = 14/6, so 14/6 + 5/6 = 19/6 = 3 1/6.
How is a repeating decimal turned into a fraction?
If the block repeats from the decimal point, divide it by as many 9s as it has digits: 0.(27) = 27/99 = 3/11. With a non-repeating start such as 0.1(6), the calculator combines both parts exactly, giving 1/6.
Are the results rounded?
No. All arithmetic uses exact integer numerators and denominators of any length. Only the decimal display is cut off after 60 digits if the repeating block is longer than that.
Can I raise a fraction to a power?
Yes, with a whole-number exponent between −2000 and 2000. A negative exponent inverts the fraction, so (2/3)^−2 = 9/4.
Feedback & suggestions
Help us improve Fraction Calculator. We read every message.