Fraction calculator

Type two fractions, pick an operation, and follow the work: common denominator, simplifying, mixed number and decimal.

Enter fractions (3/4, -5/6), whole numbers, or decimals (0.25).

How to use it

Type the first fraction on the left, choose an operation, and type the second fraction on the right. The answer updates as you type; the Calculate button is there if you want to see an error message right away.

Write fractions with a slash, like 7/12, and put a minus sign in front for a negative fraction: -7/12. Whole numbers (3, which is \(\frac{3}{1}\)) and decimals (0.4) work too. The tool converts them to fractions and shows you how.

What the steps show

  • Adding and subtracting. When the denominators differ, the tool finds the least common denominator (the LCM of the denominators), rewrites both fractions over it, and only then combines the numerators.
  • Multiplying. Multiply straight across. If you could have cross-canceled first, the tool points it out.
  • Dividing. Keep the first fraction, change ÷ to ×, and flip the second fraction.
  • Simplifying. The answer is divided by the greatest common factor of its numerator and denominator, so it always ends up in lowest terms.

Try one by hand

For \(\frac{3}{4} + \frac{5}{6}\), the least common denominator of 4 and 6 is 12. The fractions become \(\frac{9}{12}\) and \(\frac{10}{12}\), and their sum is \(\frac{19}{12}\), which doesn't simplify. As a mixed number that's \(1\frac{7}{12}\), and as a decimal it's \(1.58\overline{3}\): the bar means the 3 repeats forever.

The best way to use this calculator is to work the problem on paper first and then check it here. If your answer doesn't match, compare the steps one at a time. The mistake is usually in the common denominator or a lost minus sign.