Fraction Calculator
Perform arithmetic operations with fractions including addition, subtraction, multiplication, and division. Automatically simplifies results and handles mixed numbers.
About Fractions
A fraction represents a part of a whole number and consists of a numerator (top number) and denominator (bottom number). The numerator represents how many parts we have, while the denominator represents the total number of equal parts in the whole.
Fraction Operations
• Addition (+): Find a common denominator, then add numerators
• Subtraction (-): Find a common denominator, then subtract numerators
• Multiplication (×): Multiply numerators and denominators separately
• Division (÷): Multiply by the reciprocal (flip the second fraction)
Simplifying Fractions
To simplify a fraction, divide both the numerator and denominator by their Greatest Common Divisor (GCD). For example, 8/12 simplifies to 2/3 because 4 is the GCD of 8 and 12.
Mixed Numbers
When a fraction's numerator is greater than its denominator, it can be expressed as a mixed number. For example, 5/2 can be written as 2 1/2, where 2 is the whole number and 1/2 is the remaining fraction.
Tips
• Always check for common factors when simplifying
• When dividing by a fraction, multiply by its reciprocal
• A fraction with denominator 1 is a whole number
• Any number divided by zero is undefined
About Fractions
A fraction represents a part of a whole number and consists of a numerator (top number) and denominator (bottom number). The numerator represents how many parts we have, while the denominator represents the total number of equal parts in the whole.
Fraction Operations
• Addition (+): Find a common denominator, then add numerators
• Subtraction (-): Find a common denominator, then subtract numerators
• Multiplication (×): Multiply numerators and denominators separately
• Division (÷): Multiply by the reciprocal (flip the second fraction)
Simplifying Fractions
To simplify a fraction, divide both the numerator and denominator by their Greatest Common Divisor (GCD). For example, 8/12 simplifies to 2/3 because 4 is the GCD of 8 and 12.
Mixed Numbers
When a fraction's numerator is greater than its denominator, it can be expressed as a mixed number. For example, 5/2 can be written as 2 1/2, where 2 is the whole number and 1/2 is the remaining fraction.
Tips
• Always check for common factors when simplifying
• When dividing by a fraction, multiply by its reciprocal
• A fraction with denominator 1 is a whole number
• Any number divided by zero is undefined