ΣCalcSolver
Fractions & decimals

Fraction Calculator

Type two fractions or mixed numbers, choose an operation, and get a fully simplified answer. The steps show the common denominator or the flip-and-multiply move, so you can follow the method rather than just copy the result.

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Quick start

  1. Enter the first value: a fraction like 5/6, a mixed number like 2 1/3 (whole number, space, fraction) or a whole number.
  2. Pick +, −, × or ÷.
  3. Enter the second value and read the steps and the answer.

Which method each operation uses

OperationMethodExample
AddCommon denominator, add the tops1/4 + 2/3 = 3/12 + 8/12 = 11/12
SubtractCommon denominator, subtract the tops5/6 − 1/4 = 10/12 − 3/12 = 7/12
MultiplyTop × top, bottom × bottom3/5 × 10/9 = 30/45 = 2/3
DivideFlip the second, then multiply2/3 ÷ 4/9 = 2/3 × 9/4 = 3/2

Example with mixed numbers

2 1/3 + 1 3/4: first turn both into improper fractions, 7/3 and 7/4. The lowest common denominator is 12, so 28/12 + 21/12 = 49/12. As a mixed number that is 4 1/12, or about 4.083.

Why common denominators matter

You can only add pieces of the same size. Thirds and quarters are different sizes, so both are cut into twelfths before adding. Multiplying does not need this step, because you are taking a part of a part.

Simplifying the answer

At the end, the top and bottom are divided by their greatest common factor. 30/45 shares a factor of 15, so it becomes 2/3.

Common questions

How do I type a mixed number?

Whole number, a space, then the fraction: 3 1/2.

Can I use negative fractions?

Yes. Put a minus sign in front, such as -2/5.

Why does dividing by a fraction give a bigger number?

Asking how many halves fit into 3 gives 6. Dividing by something smaller than 1 always increases the result.

Does it show a decimal too?

Yes, along with the percent.