How to Calculate with Fractions
Our fraction calculator handles addition, subtraction, multiplication, division, and simplification of fractions. Perfect for homework, cooking conversions, and any situation requiring precise fractional math.
Understanding Fraction Operations
A fraction represents a part of a whole: numerator/denominator. Operations follow specific rules: addition/subtraction need common denominators, multiplication goes straight across, and division flips and multiplies.
Fraction Operation Rules
Add/Subtract: find common denominator, combine numerators. Multiply: (a/b) × (c/d) = ac/bd. Divide: (a/b) ÷ (c/d) = (a/b) × (d/c).
Example:
1/4 + 2/3: LCD = 12, so 3/12 + 8/12 = 11/12. 2/3 × 3/4 = 6/12 = 1/2. 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.
Common Use Cases
Real-world applications for this calculator
Cooking & Recipes
Scale recipes and convert between measurement fractions.
Construction
Work with fractional measurements in woodworking and building.
Education
Master fundamental math concepts and verify homework.
Tips
- Always simplify your final answer.
- Cross-multiply to compare fractions: a/b vs c/d → compare ad and bc.
- Dividing by a fraction = multiplying by its reciprocal.
- Convert mixed numbers to improper fractions before operating.
Frequently Asked Questions
How do I add fractions with different denominators?
Find the least common denominator (LCD), convert each fraction, then add numerators. Keep the common denominator. 1/4 + 1/6: LCD = 12, so 3/12 + 2/12 = 5/12.
How do I multiply fractions?
Multiply numerators together, multiply denominators together: (a/b) × (c/d) = (ac)/(bd). Then simplify if possible. 2/3 × 4/5 = 8/15.
How do I divide fractions?
Multiply by the reciprocal (flip the second fraction): (a/b) ÷ (c/d) = (a/b) × (d/c). Example: 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8.
How do I simplify fractions?
Divide both numerator and denominator by their GCD. 18/24: GCD = 6, so 18÷6 / 24÷6 = 3/4.
How do I convert mixed numbers to improper fractions?
Multiply whole number by denominator, add numerator. 2¾ = (2×4 + 3)/4 = 11/4. Reverse: divide numerator by denominator for mixed number.