This fraction calculator adds, subtracts, multiplies, or divides two fractions and returns the simplified result.
Math
Fraction Calculator
Add, subtract, multiply or divide fractions and simplify the result.
Calculator
About this calculator
Formula notes
a/b + c/d = (ad + bc) / bd; a/b × c/d = ac / bd; a/b ÷ c/d = a/b × d/c. Results are reduced to lowest terms.
Worked examples
- Example: 1/2 + 1/3 = (3 + 2) / 6 = 5/6 ≈ 0.833, as the default calculation shows.
- Dividing 3/4 by 5/6 multiplies by the reciprocal: (3 x 6) / (4 x 5) = 18/20 = 9/10.
How to use it
- Enter the numerator and denominator of each fraction.
- Choose the operation: add, subtract, multiply, or divide.
- Read the simplified fraction and its decimal value.
Frequently asked questions
Do I need a common denominator before typing?
No. The calculator handles the common-denominator step and simplifies the answer.
Can I enter improper fractions?
Yes. Improper fractions are accepted and the result is simplified the same way.
Limits and interpretation
- Every denominator must be nonzero, and division by a zero-valued fraction is undefined.
- Large integer inputs can produce large intermediate numerators and denominators even when the reduced result is simple.