Fraction Calculator
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Mastering Fractions: A Comprehensive Guide
What is a Fraction Calculator?
A fraction calculator is a specialized tool designed to perform mathematical operations with fractions. Our calculator handles all fraction operations including addition, subtraction, multiplication, division, simplification, conversion between fractions and decimals, and comparison of fractions.
Key Features of Our Fraction Calculator
- All fraction operations: Add, subtract, multiply, and divide fractions
- Simplification: Reduces fractions to their simplest form
- Conversion: Converts between fractions and decimals
- Comparison: Determines which fraction is larger
- Step-by-step solutions: Shows the complete calculation process
- Mixed numbers: Supports whole numbers with fractions
How to Use the Fraction Calculator
- Select the operation you want to perform
- Enter your fractions (numerators and denominators)
- Click “Calculate” to see the result
- View the step-by-step solution for learning
Understanding Fraction Operations
Fractions represent parts of a whole and are essential in mathematics. Here are the core operations:
Adding Fractions
To add fractions:
1. Find a common denominator
2. Convert both fractions
3. Add the numerators
4. Simplify the result
Example: 1/4 + 1/2 = 1/4 + 2/4 = 3/4
Multiplying Fractions
To multiply fractions:
1. Multiply numerators together
2. Multiply denominators together
3. Simplify the result
Example: 1/2 × 2/3 = 2/6 = 1/3
Common Fraction Conversions
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/3 | 0.333… | 33.33% |
| 2/3 | 0.666… | 66.66% |
Fraction Tips and Tricks
- To find a common denominator, multiply the denominators together
- To simplify a fraction, divide numerator and denominator by their greatest common factor (GCF)
- When comparing fractions, cross-multiply to see which is larger
- Convert mixed numbers to improper fractions before calculating