Ratio Calculator
Simplify ratios, generate equivalent ratios, divide an amount into ratio shares, and solve missing value proportions (A:B = C:x).
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Fraction Calculator
Add, subtract, multiply, divide, and simplify proper, improper, and negative fractions with automatic Greatest Common Divisor (GCD) reduction, mixed number output, and decimal conversion.
Enter Fractions & Operation
Fraction Result & Steps
Simplified Fraction
5/6
Decimal Equivalent
0.833333
Mixed / Form Classification:
5/6 (Proper Fraction)
Step-by-Step Solution
Fraction Arithmetic Formulas & Examples
Addition: (a / b) + (c / d) = (ad + bc) / bd
Subtraction: (a / b) − (c / d) = (ad − bc) / bd
Multiplication: (a / b) × (c / d) = (a × c) / (b × d)
Division: (a / b) ÷ (c / d) = (a × d) / (b × c)
Subtraction: (a / b) − (c / d) = (ad − bc) / bd
Multiplication: (a / b) × (c / d) = (a × c) / (b × d)
Division: (a / b) ÷ (c / d) = (a × d) / (b × c)
Example: Calculate 1/2 + 1/3:
(1 × 3 + 1 × 2) / (2 × 3) = (3 + 2) / 6 = 5/6 ≈ 0.833333
Frequently Asked Questions
To add a/b and c/d, cross-multiply to find a common denominator: (a × d + b × c) / (b × d), and then divide both the numerator and denominator by their Greatest Common Divisor (GCD) to simplify.
Multiply the first fraction by the reciprocal (flipped version) of the second fraction: (a/b) ÷ (c/d) = (a × d) / (b × c).
Yes. You can enter negative numerators (such as -3/4) or improper fractions where the numerator is larger than the denominator (such as 7/4). The result shows both the simplified fraction and the mixed number form.
A fraction a/b represents dividing a by b. Because division by zero is mathematically undefined, any fraction must have a non-zero denominator.
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