Accurate fraction calculator for students. Solves complex fractions (LCD method), compares three fractions, handles mixed numbers subtraction three terms, multiplication with steps, and repeating decimals.
The formula for adding fractions is:
Example: 2/6 + 1/4
• Cross multiply: (2 × 4) + (6 × 1) = 8 + 6 = 14
• Multiply denominators: 6 × 4 = 24
• Result: 14/24 = 7/12 (simplified)
The formula for subtracting fractions is:
Example: 2/6 − 1/4
• Cross subtract: (2 × 4) − (6 × 1) = 8 − 6 = 2
• Multiply denominators: 6 × 4 = 24
• Result: 2/24 = 1/12 (simplified)
The formula for multiplying fractions is:
Example: 2/6 × 1/4
• Multiply numerators: 2 × 1 = 2
• Multiply denominators: 6 × 4 = 24
• Result: 2/24 = 1/12 (simplified)
The formula for dividing fractions is:
Example: 2/6 ÷ 1/4
• Multiply by reciprocal: 2/6 × 4/1
• Multiply: (2 × 4)/(6 × 1) = 8/6
• Result: 8/6 = 4/3 = 1 1/3 (simplified and converted)
Simplifying a fraction means reducing it to its lowest terms by dividing both numerator and denominator by their Greatest Common Divisor (GCD).
Example: 14/24
• GCD of 14 and 24 is 2
• Divide both by 2:
Converting fractions includes changing improper fractions to mixed numbers and vice versa.
Improper to Mixed Number: 4/3
• Divide 4 by 3 = 1 remainder 1
• Result:
Mixed to Improper Number: 1 1/3
• Multiply whole number by denominator: 1 × 3 = 3
• Add numerator: 3 + 1 = 4
• Result: 4/3
Fractions can be compared using cross multiplication.
Example: Compare 2/3 and 3/5
• Cross multiply: 2 × 5 = 10 and 3 × 3 = 9
• Since 10 > 9, we know 2/3 > 3/5
Download a free practice worksheet with 10 fraction problems and complete solutions. Perfect for students, teachers, and homeschoolers.
Deepen your understanding of fractions with these trusted educational sources:
Comprehensive video lessons and practice exercises on fraction operations.
Advanced computational engine for verifying complex fraction calculations.
Visual guides and interactive examples for understanding fraction concepts.
Building trust through clear educational standards
VIP Calculator Educational Team
Calculations follow standard mathematical rules for fractions, including lowest common denominator (LCD), simplification, and mixed number conversion, as taught in school and academic curricula.
This calculator is designed for learning, practice, and general educational use.
Results are mathematically accurate for standard fraction operations. Users should independently verify results when used for exams or academic submissions.
All calculations run locally in the browser. No inputs or results are stored or shared.
Simply enter both fractions and select the addition operation. The calculator automatically finds the common denominator and performs the calculation.
Yes, you can convert mixed numbers to improper fractions or enter them directly. The calculator handles both formats.
Yes, all results are automatically simplified to their lowest terms for easy reading and understanding.
You can add, subtract, multiply, and divide fractions using this calculator.
Enter negative fractions with a minus sign before the numerator (e.g., -3/4). The calculator handles negative values in all operations and maintains proper signs in results.
Enter the complex fraction and use the Simplify mode. The calculator finds the greatest common divisor (GCD) and reduces the fraction to its lowest terms automatically.
When dividing by a fraction, the calculator flips the second fraction (finds its reciprocal) and multiplies. For example, 1/2 ÷ 3/4 becomes 1/2 × 4/3 = 2/3.