Math Tools
Fraction Calculator
Calculate fractions: add, subtract, multiply, divide. Simplify fractions, convert to decimals, and find common denominators.
Use Fraction Calculator to get instant results without uploads or sign-ups. Everything runs securely in your browser for fast, reliable output.
Your results will appear here.
About this tool
Fractions represent parts of a whole. Our Fraction Calculator handles all fraction operations: addition, subtraction, multiplication, and division. It automatically finds common denominators, simplifies results, and shows step-by-step solutions.
Working with fractions is essential in cooking (1/2 cup, 3/4 teaspoon), construction (measuring in inches), and mathematics. The calculator handles proper fractions (3/4), improper fractions (5/4), and mixed numbers (1 1/4). All results are simplified to lowest terms.
Usage examples
Adding Fractions
Adding fractions with different denominators
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Multiplying Fractions
Multiply numerators and denominators
2/3 × 3/4 = 6/12 = 1/2 (simplified)
Mixed Numbers
Converting and calculating with mixed numbers
1 1/2 + 2 1/4 = 3/2 + 9/4 = 6/4 + 9/4 = 15/4 = 3 3/4
How to use
- Enter first fraction (numerator and denominator)
- Select operation (+, -, ×, ÷)
- Enter second fraction
- Click "Calculate" to see the result
- View simplified fraction and decimal equivalent
- See step-by-step solution
Benefits
- Add, subtract, multiply, divide fractions
- Automatic simplification to lowest terms
- Convert between fractions and decimals
- Handle mixed numbers and improper fractions
- Step-by-step solutions
- Find common denominators automatically
- Perfect for homework and cooking
- No registration required
FAQs
How do you add fractions with different denominators?
Find the Least Common Denominator (LCD), convert both fractions to have this denominator, then add the numerators. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6. The LCD of 2 and 3 is 6. Multiply 1/2 by 3/3 and 1/3 by 2/2 to get common denominators.
What is the difference between proper and improper fractions?
Proper fraction: numerator smaller than denominator (3/4, 2/5). Improper fraction: numerator equal to or larger than denominator (5/4, 7/3). Mixed number: whole number plus fraction (1 1/4 = 5/4). Improper fractions can be converted to mixed numbers: divide numerator by denominator.
How do you simplify fractions?
Divide both numerator and denominator by their Greatest Common Divisor (GCD). Example: 6/8 → GCD is 2 → 6÷2 / 8÷2 = 3/4. Continue until no common factors remain except 1. Simplified fractions are easier to understand: 3/4 is clearer than 75/100.
How do you multiply fractions?
Multiply numerators together and denominators together. Then simplify. Example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2. Pro tip: simplify before multiplying if possible. Cancel common factors diagonally: 2/3 × 3/4 → 2 and 4 share factor 2, 3s cancel → 1/2.
How do you divide fractions?
Multiply by the reciprocal (flip the second fraction). Example: 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9. "Keep, Change, Flip" method: keep first fraction, change ÷ to ×, flip second fraction. Division by fraction is same as multiplication by its reciprocal.
What are equivalent fractions?
Fractions that represent the same value: 1/2 = 2/4 = 3/6 = 4/8 = 50/100 = 0.5. Created by multiplying or dividing numerator and denominator by the same number. Useful for: comparing fractions (which is larger?), adding/subtracting (need common denominator), simplifying.
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