Wittlo
TodaySign in

← All calculators

Fraction calculator

Add, subtract, multiply or divide two fractions. You can type fractions (3/4), mixed numbers (1 1/2), whole numbers or decimals (0.75). The answer is simplified and shown as a mixed number and a decimal, with the working.

Worked example

With the values shown above when the page opens:

3/4 + 5/6 = 19/12

  1. 3/4 + 5/6
  2. Common denominator: 12
  3. = 9/12 + 10/12
  4. = 19/12
  5. Simplify by dividing top and bottom by their highest common factor: 19/12

How it works

  • To add or subtract, rewrite both fractions over a common denominator, then add or subtract the tops.
  • To multiply, multiply the tops together and the bottoms together.
  • To divide, flip the second fraction and multiply.
  • Always simplify at the end by dividing the top and bottom by their highest common factor.

Questions

How do I add mixed numbers?

Type them with a space, like 1 1/2 + 2 3/4. The calculator turns them into improper fractions, adds, and gives the answer as a mixed number too.

What is the fastest way to find a common denominator?

Use the least common multiple of the two denominators. For 4 and 6 that is 12.

Why is dividing by a fraction the same as multiplying by its flip?

Dividing by 1/2 asks how many halves fit, which is doubling. Multiplying by 2/1 does the same.

Related

Calculators are for learning and quick checks. Check important figures yourself, and do not rely on them for tax, legal or financial decisions.