Fraction Calculator
Add, Subtract, Multiply & Divide Fractions
Professional fraction calculator for all operations. Work with proper fractions, improper fractions, and mixed numbers. Get simplified results with step-by-step solutions.
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Fraction Calculator
Add, subtract, multiply, divide, and convert fractions with step-by-step solutions
Add two fractions together
First Fraction
Preview: 1/2
Second Fraction
Preview: 1/3
Common Fractions
Calculation Result
Result with equivalent forms and detailed explanation
Enter valid fractions to see the calculation result
Understanding Fractions
Master fraction operations and learn the essential rules for working with fractions.
Adding Fractions
To add fractions, find a common denominator, convert each fraction, then add the numerators. Example: 1/4 + 1/2 = 1/4 + 2/4 = 3/4
Subtracting Fractions
Similar to addition - find common denominator, convert fractions, then subtract numerators. Example: 3/4 - 1/2 = 3/4 - 2/4 = 1/4
Multiplying Fractions
Multiply numerators together, multiply denominators together, then simplify. Example: 2/3 x 3/4 = 6/12 = 1/2
Dividing Fractions
Flip the second fraction (reciprocal) and multiply. Example: 1/2 divided by 1/4 = 1/2 x 4/1 = 4/2 = 2
Simplifying Fractions
Find the GCD of numerator and denominator, then divide both by it. Example: 12/16 = 3/4 (GCD is 4)
Mixed Numbers
Convert mixed numbers to improper fractions for calculations. Example: 2 1/4 = (2x4+1)/4 = 9/4
Types of Fractions
Proper Fractions
- Numerator smaller than denominator
- Value is less than 1
- Examples: 1/2, 3/4, 7/8
- Common in measurements
- Easy to visualize as parts
Improper Fractions
- Numerator larger or equal to denominator
- Value is 1 or greater
- Examples: 5/4, 7/3, 9/2
- Easier for calculations
- Convert to mixed numbers
Mixed Numbers
- Whole number + proper fraction
- Examples: 1 1/2, 2 3/4, 5 2/3
- Easier to understand as quantities
- Convert for arithmetic operations
- Common in everyday use
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