Fraction Calculator
Work through fraction arithmetic with clear steps.
Fraction Calculator
Add, subtract, multiply, or divide fractions and see the simplification steps.
Simplified result
5/6
Decimal: 0.83333333
Working
(1 × 3 + 1 × 2) / (2 × 3)
Reduce numerator and denominator by their greatest common divisor.
Enter whole numbers. Fractions are kept exact; very large intermediate values are rejected rather than rounded.
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What This Calculator Does
The Fraction Calculator performs addition, subtraction, multiplication, and division on two fractions. It reduces the answer to simplest form and shows the arithmetic used to reach it.
How It Works
For addition and subtraction, the calculator finds a common denominator. For multiplication it multiplies numerators and denominators; for division it multiplies by the reciprocal. It then divides both parts by their greatest common divisor.
Example
To add 1/2 and 1/3, use a common denominator of 6: (1 × 3 + 1 × 2) / (2 × 3) = 5/6.
Formula
a/b + c/d = (ad + bc) / bda/b × c/d = ac / bda/b ÷ c/d = ad / bc, where c ≠ 0Reading the Results
Simplified Fraction
The exact result after common factors are removed from numerator and denominator.
Decimal
The decimal equivalent, rounded for display only; the fraction remains the exact result.
Frequently Asked Questions
How do you add fractions with different denominators?
Convert both fractions to a shared denominator, add the numerators, then simplify the resulting fraction.
How is a fraction simplified?
Divide the numerator and denominator by their greatest common divisor. The value stays the same while the numbers become smaller.
Can I enter a negative fraction?
Yes. Negative numerators or denominators are supported, and the final sign is normalized to the numerator.
Why can a calculation be rejected?
Denominators cannot be zero, division by zero is undefined, and very large intermediate values may exceed safe exact integer arithmetic.