MathematicsArithmetic
Fraction & Mixed Numbers Calculator
Perform fraction arithmetic with ease. Add, subtract, multiply, and divide proper, improper, and mixed fractions with automatic LCD simplification.
Fraction Expression
Simplified Result
17 / 12
Decimal Equivalent: 1.416667
Mixed Number: 1 5/12
Mathematical Formula: Fraction Operations with Common Denominator
a/b + c/d = (ad + bc) / bd | a/b ÷ c/d = (a · d) / (b · c)
Calculates cross-multiplied products and reduces via Greatest Common Divisor (GCD).
How to Use This Calculator
- 1Enter the numerator and denominator for Fraction 1 and Fraction 2.
- 2Select the arithmetic operation (+, −, ×, ÷).
- 3Instantly get the raw result, simplified proper/improper fraction, mixed number, and decimal equivalent.
Practical Example: Adding Unlike Fractions
Scenario: 3/4 + 2/3
Fraction 1:3/4
Operation:+
Fraction 2:2/3
Result: Simplified: 17/12 | Mixed Number: 1 5/12 | Decimal: 1.416667
(3×3 + 2×4) / (4×3) = 17/12 = 1 whole and 5/12.
Frequently Asked Questions
A proper fraction has a numerator smaller than its denominator (e.g., 3/4), while an improper fraction has a numerator equal to or larger than its denominator (e.g., 7/4).
Pro Calculation Tips
- To multiply fractions, simply multiply top times top and bottom times bottom.
Model Assumptions
- Denominators cannot equal zero.