Math Solver / Fraction Calculator

Fraction Calculator

Add, subtract, multiply and divide fractions and get exact answers with every step.

Press Enter to solve · ^ for powers · sqrt() for roots · separate a system with a comma

Try:

The fraction calculator keeps answers exact. Type 3/4 + 5/6 and you get 19/12 (≈ 1.583333), not a rounded decimal. Longer expressions are evaluated in the correct order of operations, one step at a time.

How to use the fraction calculator

  1. Write fractions with a slash: 2/3.
  2. Use + − * / and brackets: (1/2 + 1/3) * 6/5.
  3. Press Enter for the exact fraction, the decimal and the steps.

Fraction rules

OperationRule
Add / subtractUse a common denominator: a/b + c/d = (ad + bc)/bd
MultiplyMultiply across: a/b × c/d = ac/bd
DivideMultiply by the reciprocal: a/b ÷ c/d = a/b × d/c
SimplifyDivide top and bottom by their greatest common factor

Example: 3/4 + 5/6

  1. Least common denominator: 12.
  2. 3/4 = 9/12 and 5/6 = 10/12.
  3. 9/12 + 10/12 = 19/12 = 1 7/12.

Questions about fractions

How do I enter a mixed number?

Write it as a sum in brackets: 2 1/3 becomes (2 + 1/3).

Why is the answer an improper fraction?

Improper fractions such as 19/12 are standard in algebra. To convert, divide: 19 ÷ 12 = 1 remainder 7, so 19/12 = 1 7/12.

What order are operations done in?

Brackets, exponents, multiplication and division (left to right), then addition and subtraction — known as PEMDAS or BODMAS.

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