EN
PT
ES
Fraction Calculator
Add, subtract, multiply or divide two fractions and get the simplified result with worked steps.
What this calculator does
It performs the four basic operations on two fractions, accepts mixed numbers (whole + numerator + denominator), and returns the answer in simplest form, as a mixed number and as a decimal. The Steps panel shows the common denominator, the intermediate fraction and the GCD used to simplify, so you can use the tool as a homework check rather than just an answer.
How to use it
Type the two fractions into the form. Leave the whole-number field blank for ordinary fractions, or fill it in for mixed numbers like 2 1/3. Pick an operation and the answer updates instantly. Negative numerators are allowed; we keep the sign on the numerator and the denominator positive.
How fractions are combined
Addition: a/b + c/d = (a·d + c·b) / (b·d). Subtraction: a/b − c/d = (a·d − c·b) / (b·d). Multiplication: a/b × c/d = (a·c) / (b·d). Division: a/b ÷ c/d = (a·d) / (b·c). The result is then divided by the greatest common divisor of numerator and denominator to put it in simplest form.
Common fraction equivalents
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33.33% |
| 2/3 | 0.666… | 66.67% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |