Fraction Calculator
Add, subtract, multiply, or divide fractions and convert to mixed numbers
How to Use This Calculator
- Enter the Numerator (top number) and Denominator (bottom number) for the first fraction.
- Select the desired mathematical operation (+, –, ×, or ÷).
- Enter the Numerator and Denominator for the second fraction.
- Click “Calculate Fraction” to see the simplified fraction, mixed number, and decimal equivalent.
The Math & Formulas Used
Depending on the selected arithmetic operator, the following mathematical rules are applied:
Subtraction: (a/b) – (c/d) = (a·d – b·c) / (b·d)
Multiplication: (a/b) × (c/d) = (a·c) / (b·d)
Division: (a/b) ÷ (c/d) = (a·d) / (b·c)
Frequently Asked Questions (FAQ)
What is a numerator and a denominator?
The numerator is the top number representing the parts present, while the denominator is the bottom number representing the total parts in a whole.
What is a proper vs. improper fraction?
A proper fraction has a numerator smaller than its denominator (e.g., 3/4). An improper fraction has a numerator greater than or equal to its denominator (e.g., 5/4).
How do you simplify a fraction?
A fraction is simplified by dividing both the numerator and denominator by their Greatest Common Divisor (GCD) until no common factors remain.
What is a mixed number?
A mixed number combines a whole integer along with a proper fraction (for example, 1 1/4 instead of 5/4).
Why can’t a denominator be zero?
Division by zero is mathematically undefined because a whole cannot be split into zero total equal parts.