Fraction Calculator
Add, subtract, multiply, or divide fractions and simplify the result.
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How fraction calculations work
This fraction calculator can add, subtract, multiply, divide, and simplify fractions. It is useful for homework, recipes, measurements, proportions, and quick math checks where exact fractional results matter.
Fractions must have a nonzero denominator. Addition and subtraction usually require a common denominator, while multiplication and division follow different rules.
Formula or logic
- Addition and subtraction: use a common denominator
- Multiplication: a/b × c/d = ac/bd
- Division: a/b ÷ c/d = a/b × d/c
- Simplify the result to lowest terms
Example
For example, 1/2 + 1/3 becomes 3/6 + 2/6, so the answer is 5/6. For 2/3 × 3/4, the result is 6/12, which simplifies to 1/2.
Common questions
Why do fractions need a common denominator?
The denominator defines the size of each part. Fractions with different denominators use different units, so they need a shared denominator before addition or subtraction.
Can a denominator be zero?
No. A fraction with a denominator of zero is undefined and cannot be calculated.
What does simplified fraction mean?
It means the numerator and denominator have no common factor left to divide by.