Fraction Calculator
Free online fraction calculator. Add, subtract, multiply, and divide fractions with step-by-step solutions.
Decimal to Fraction
How to Use
- Enter the numerator and denominator for the first fraction
- Select an operation (+, −, ×, ÷)
- Enter the numerator and denominator for the second fraction
- Click "Calculate" to see the result with step-by-step solution
What is Fraction Calculator?
A fraction represents a part of a whole. It consists of two numbers: the numerator (top number) and the denominator (bottom number). The denominator shows how many equal parts the whole is divided into, while the numerator shows how many of those parts we have.
This fraction calculator helps you perform arithmetic operations with fractions, including addition, subtraction, multiplication, and division. It automatically simplifies the result to its lowest terms and can convert improper fractions to mixed numbers.
Formula
Addition: a/b + c/d = (ad + bc) / bd
Subtraction: a/b − c/d = (ad − bc) / bd
Multiplication: a/b × c/d = (a × c) / (b × d)
Division: a/b ÷ c/d = (a × d) / (b × c)
Examples
Example 1: 1/2 + 1/3 = 3/6 + 2/6 = 5/6
Example 2: 3/4 × 2/5 = 6/20 = 3/10
Example 3: 7/8 ÷ 1/2 = 7/8 × 2/1 = 14/8 = 7/4 = 1 3/4
FAQ
How do I add fractions with different denominators?
To add fractions with different denominators, first find the Least Common Denominator (LCD). Then convert each fraction to an equivalent fraction with the LCD. Finally, add the numerators and keep the common denominator.
What is a mixed number?
A mixed number combines a whole number and a proper fraction. For example, 1 3/4 means 1 whole plus 3/4. It's another way to express improper fractions (where the numerator is larger than the denominator).
How do I simplify a fraction?
To simplify a fraction, find the Greatest Common Factor (GCF) of the numerator and denominator, then divide both by the GCF. For example, 6/8: GCF(6,8)=2, so 6/8 = 3/4.
Why can't the denominator be zero?
Division by zero is undefined in mathematics. A fraction with zero in the denominator has no meaningful value, so it's not allowed.