Fraction Calculator
Add, subtract, multiply, and divide fractions instantly. Supports mixed numbers and improper fractions with step-by-step results.
How to Use This Calculator
- Choose an operation — Addition, Subtraction, Multiplication, or Division
- Enter the first fraction — Whole number (optional for mixed numbers), numerator, and denominator
- Enter the second fraction — Same format as the first
- Click Calculate to see the simplified result and step-by-step solution
Operation
First Fraction
Second Fraction
📐 Fraction Operations — Quick Reference
- Addition/Subtraction: Find a common denominator, then add or subtract numerators. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6
- Multiplication: Multiply numerators together and denominators together. Example: 2/3 × 3/4 = 6/12 = 1/2
- Division: Multiply by the reciprocal of the divisor. Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6
- Simplification: Divide both numerator and denominator by their Greatest Common Factor (GCF)
- Mixed numbers: Convert to an improper fraction first: 2¾ → (2×4 + 3)/4 = 11/4
🔢 Common Fraction Equivalents
Frequently Asked Questions
How do you add fractions with different denominators?
To add fractions with different denominators, first find a common denominator by multiplying the two denominators together (or using the least common multiple). Then convert each fraction to an equivalent fraction with that common denominator, and add the numerators. Finally, simplify the result. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
How do you multiply fractions?
To multiply fractions, simply multiply the numerators together and the denominators together. Then simplify the result. Example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2. No common denominator is needed.
How do you divide fractions?
To divide fractions, multiply the first fraction by the reciprocal (the flip) of the second fraction. Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. The phrase "keep, change, flip" helps: keep the first fraction, change ÷ to ×, flip the second fraction.
How do you calculate with mixed numbers like 2 3/4?
Convert the mixed number to an improper fraction first: multiply the whole number by the denominator and add the numerator. For 2 3/4: (2 × 4) + 3 = 11, so 2 3/4 = 11/4. Then perform the operation normally and convert back to a mixed number if needed.
What is a simplified fraction?
A fraction is fully simplified (in lowest terms) when the numerator and denominator share no common factors other than 1. To simplify, divide both numerator and denominator by their Greatest Common Factor (GCF). Example: 6/12 simplified is 1/2, because GCF(6,12) = 6.
How do you subtract fractions?
Subtracting fractions works just like addition: find a common denominator, convert each fraction, then subtract the numerators. Example: 3/4 − 1/3 = 9/12 − 4/12 = 5/12. If the result is negative, the first fraction was smaller than the second.