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Fraction Calculator - Fraction Operations
Free fraction calculator for adding, subtracting, multiplying, and dividing fractions. Includes simplification and decimal-fraction conversion.
Fraction Calculator
Perform any mathematical operation with fractions
Result
Enter your values to see results
and click the "Calculate" button
What is a Fraction?
A fraction represents a part of a whole. The top number is called the 'numerator' and the bottom number is the 'denominator.' For example, 3/4 means a whole divided into 4 equal parts, taking 3 of them. Fractions are commonly used in recipes, measurements, ratios, and math problems. This calculator supports 8 different fraction operations.
How to Use This Calculator
- Select the operation you want to perform
- Enter the numerator and denominator of the first fraction
- For two-fraction operations, enter the second fraction
- Click Calculate to see the result
Fraction Operation Formulas
Addition: a/b + c/d = (ad + bc) / bd
Subtraction: (ad - bc) / bd. Multiplication: ac / bd. Division: a/b ÷ c/d = ad / bc
Frequently Asked Questions
How do I add fractions?
Fractions need the same denominator. Find a common denominator, then add the numerators. Example: 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2
Why is fraction multiplication easy?
No need to find common denominators. Simply multiply numerators together and denominators together: 2/3 × 4/5 = (2×4)/(3×5) = 8/15.
How do I divide fractions?
Flip the second fraction (swap numerator and denominator), then multiply. 1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3. Remember: 'Flip and multiply'
What is GCD and LCM?
GCD (Greatest Common Divisor) is used for simplifying fractions. LCM (Least Common Multiple) is used for finding common denominators. For 12 and 18: GCD=6 (simplify), LCM=36 (common denominator).
How do I convert a decimal to a fraction?
Put the decimal digits over a power of 10 matching the decimal places. 0.75 = 75/100, then simplify: 75/100 = 3/4. For repeating decimals (0.333...), use the closest fraction (1/3).
What is a mixed number?
A whole number and fraction combined, like 2 3/4. To convert to improper fraction: whole × denominator + numerator = new numerator. 2 3/4 = (2×4+3)/4 = 11/4
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