Fraction Calculator
Enter your values below and click Calculate for instant results.
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Add, subtract, multiply, or divide any two fractions. Shows simplified result, mixed number, decimal, and percentage.
Enter your values below and click Calculate for instant results.
Fractions represent parts of a whole. Working with them requires understanding a few fundamental rules that apply consistently across all four operations. This calculator handles all the arithmetic and shows the simplified result, decimal equivalent, and mixed number form where applicable.
Every result from this calculator is automatically simplified to lowest terms by dividing both numerator and denominator by their greatest common divisor (GCD). A fraction is in lowest terms when the numerator and denominator share no common factors other than 1.
To add or subtract fractions, they must have a common denominator. If the denominators are different, you find the least common denominator (LCD), convert both fractions to equivalent fractions with that denominator, then add or subtract the numerators. The denominator stays the same. This calculator handles the LCD calculation automatically.
Multiplying fractions is the simplest operation: multiply the numerators together and multiply the denominators together. No common denominator is needed. The result should then be simplified by dividing numerator and denominator by their GCD.
Dividing by a fraction is the same as multiplying by its reciprocal. To find the reciprocal, simply flip the second fraction (swap numerator and denominator), then multiply. So dividing 1/2 by 1/3 is the same as multiplying 1/2 by 3/1, giving 3/2 or 1 and 1/2.
When the numerator is larger than the denominator (an improper fraction), the result can also be expressed as a mixed number, which combines a whole number with a proper fraction. This calculator shows the mixed number form when applicable, alongside the improper fraction and decimal equivalents.