🔢 Fraction Calculator
Add, subtract, multiply, divide, and simplify fractions
Understanding Fractions
A fraction represents a part of a whole. It consists of a numerator (top number) and denominator (bottom number).
Operations with Fractions
- Addition/Subtraction: Find common denominator, then add/subtract numerators
- Multiplication: Multiply numerators together and denominators together
- Division: Multiply by the reciprocal (flip the second fraction)
- Simplification: Divide both numerator and denominator by their GCD
Frequently Asked Questions
How do I add fractions with different denominators?
Find the least common denominator (LCD), convert both fractions to equivalent fractions with the LCD, then add the numerators. For example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
How do I simplify a fraction?
Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD. For example: 6/8 = (6÷2)/(8÷2) = 3/4.
How do I multiply fractions?
Multiply the numerators together and the denominators together. For example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2 (simplified).
How do I divide fractions?
Multiply by the reciprocal of the second fraction. For example: 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9.
What is an improper fraction?
An improper fraction has a numerator larger than or equal to the denominator (like 7/4). It can be converted to a mixed number (1 3/4).
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. For example: 3/4 = 3 ÷ 4 = 0.75.