Fraction Calculator
Perform basic arithmetic operations (addition, subtraction, multiplication, division) with fractions.
Fraction Operations
Understanding Fraction Operations
Fractions are numbers representing parts of a whole. Performing operations with them requires understanding their unique rules.
Basic Operations:
- Addition & Subtraction: Find a common denominator, convert fractions, then add/subtract numerators.
- Multiplication: Multiply numerators together and denominators together.
- Division: Invert the second fraction (reciprocal) and then multiply.
Fraction Operation Examples
| Operation | Example | Result |
|---|---|---|
| Addition | 1/2 + 1/4 | 3/4 |
| Subtraction | 3/4 - 1/2 | 1/4 |
| Multiplication | 1/2 × 3/4 | 3/8 |
| Division | 1/2 ÷ 1/4 | 2/1 |
Frequently Asked Questions
What is a fraction?
A fraction represents a part of a whole or any number of equal parts. It consists of a numerator (the top number) and a denominator (the bottom number).
How do you add/subtract fractions?
To add or subtract fractions, they must have a common denominator. Find the least common multiple (LCM) of the denominators, convert the fractions, then add or subtract the numerators. Simplify the result if possible.
How do you multiply fractions?
To multiply fractions, multiply the numerators together and multiply the denominators together. Simplify the resulting fraction if possible.
How do you divide fractions?
To divide fractions, invert the second fraction (swap its numerator and denominator) and then multiply the first fraction by this inverted second fraction.