Add, subtract, multiply, divide and simplify fractions easily.
Adding, subtracting, multiplying, and dividing fractions
A fraction represents a part of a whole: numerator/denominator. Understanding fraction arithmetic is essential for cooking, measurements, probability, and algebra. Adding/Subtracting: Fractions must have the same denominator. Find the LCM of both denominators, convert each fraction, then add/subtract numerators: 1/3 + 1/4 = 4/12 + 3/12 = 7/12. Multiplying: Multiply numerators together and denominators together. 2/3 × 3/5 = 6/15 = 2/5. Always simplify by dividing by the GCD. Dividing: Multiply by the reciprocal of the second fraction. 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. Mixed numbers: Convert to improper fractions first. 2½ = 5/2. Then perform the operation and convert back if needed.
Common questions about fraction calculations
A fraction is a mathematical expression representing parts of a whole. The numerator (top number) shows parts taken, the denominator (bottom number) shows total parts.
Other useful tools related to mathematical calculations
How to Use? Enter the numerator and denominator for each fraction, select the operation, and click calculate. The result is automatically simplified and shown as a mixed number.
Add two fractions together. Calculates and simplifies correctly even with different denominators.
Subtract one fraction from another. Handles negative results correctly.
Multiply fractions by multiplying numerators and denominators, then simplifying.
Divide one fraction by another using the multiply-by-reciprocal method.
All results are automatically simplified to lowest terms using GCD.
Results shown in both improper and mixed number formats (e.g., 5/2 = 2 1/2).
Common questions about fraction calculations
A fraction is a mathematical expression representing parts of a whole. The numerator (top number) shows parts taken, the denominator (bottom number) shows total parts.