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Fraction operations calculator

Add, subtract, multiply or divide two or more fractions and mixed numbers with step-by-step working, common denominators and a simplified result.

Steps

  1. 1/2 + 1/3:
  2. Common denominator: lcm(2, 3) = 6
  3. 1/2 = 3/6, 1/3 = 2/6
  4. 3 + 2 = 5, so 5/6
  5. Simplify: 5/6

How to use

  1. Type the first fraction, choose + − × ÷, and type the next. Add more operands if needed.
  2. Operations run left to right, like a calculator.
  3. Read the simplified result and expand the steps for each operation.

Worked example: 3/4 × 2/3 ÷ 1/2

Multiply straight across: 3 × 2 over 4 × 3 = 6/12 = 1/2.

Then divide by 1/2 by flipping and multiplying: 1/2 × 2/1 = 2/2 = 1. The result is exactly 1.

Frequently asked questions

How do I add fractions with different denominators?

Rewrite both over the least common multiple, add the numerators, then simplify. 2/3 + 1/4 = 8/12 + 3/12 = 11/12.

How do I multiply fractions?

Multiply numerators together and denominators together, then simplify. 2/3 × 3/4 = 6/12 = 1/2.

How do I divide fractions?

Multiply by the reciprocal of the second fraction. 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9.

What about mixed numbers?

They are converted to improper fractions first: 1 1/2 = 3/2. The result is shown both ways.

Is there operator precedence?

No, the calculator works left to right. Reorder the operands if you need multiplication before addition.

What if I divide by zero?

The result shows not defined.