Fraction Calculator
Performs add, subtract, multiply, or divide on two integer fractions, simplifies by GCD, and reports improper, mixed, and decimal forms with steps.
Limitation: Integer numerators and denominators only.
How to Calculate With Fractions
Enter two fractions as integer numerators and denominators, pick an operation, then read the simplified result.
Choose add, subtract, multiply, or divide.
Signs belong on the numerator
A negative denominator is rewritten so the sign sits on the numerator after simplification.
What the Result Shows
Each run simplifies both inputs, applies the operation, then reduces by the greatest common divisor. The primary answer is the improper fraction in lowest terms.
Worked Fraction Examples
Add 1/2 + 1/3
Inputs
Simplified result
Common denominator 6 → (3+2)/6 = 5/6.
Divide 1/2 ÷ 1/4
Inputs
Simplified result
Multiply by the reciprocal 4/1 → 4/2 = 2.
Check with decimals
Compare the decimal view to a hand estimate when learning—then trust the exact fraction form for homework.
Frequently Asked Questions
Still have questions about this calculation?
Try the CalculatorFraction Arithmetic
All four operations reduce to integer arithmetic plus a final GCD simplification.
Formula
Addition
a/b + c/d = (ad + bc) / (bd)
Subtraction
a/b − c/d = (ad − bc) / (bd)
Multiplication
a/b × c/d = (ac) / (bd)
Division
a/b ÷ c/d = (ad) / (bc)
Simplify
n/d → (n ÷ g)/(d ÷ g)
Scientific Background
Assumptions: integer inputs and nonzero denominators. Limitations: no mixed-number inputs as separate whole+fraction fields; convert mixed numbers to improper fractions first.
Sources & review
Fraction Calculator documents the references behind its formulas and assumptions. Always treat results as educational estimates, not personalized professional advice.
Last reviewed
July 22, 2026
Free Calculator Hub methodology
Free Calculator Hub
/methodology
See our methodology and corrections policy.