kalkio

Fraction calculator

Type a sum such as 1 1/2 + 3/4 or (2/3 − 1/6) · 4. You get the answer as a simplified fraction, a mixed number and a decimal.

mixed number: 1 1/2 · divide: / or : · power: ^

Fraction9/4
Mixed number2 1/4
Decimal2.25

common denominator: 4

3/2 + 3/4 = 6/4 + 3/4 = 9/4

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Paste this code into your page’s HTML. The tool sets its own height, and the link to Kalkio has to stay visible.

Calculator by Kalkio · kalkio.app

How to add fractions

Fractions with different denominators are brought to a common denominator, ideally the least common multiple: 1/4 + 1/6 = 3/12 + 2/12 = 5/12. To multiply, multiply the tops and the bottoms; to divide, multiply by the reciprocal.

Repeating decimals

A number like 0.(3) = 0.333… can be written as a fraction. If x = 0.(3), then 10x = 3.(3), so 10x − x = 3 and x = 1/3. The tool does this for any repeating part, e.g. 0.1(6) = 1/6.

Common questions

How do I type a mixed number?

Whole part, space, fraction: 2 3/4. A minus in front applies to the whole mixed number: −2 3/4 = −11/4.

Are the results exact?

Yes. The calculations use fractions with arbitrarily large numerators and denominators, with no rounding.

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