Fraction Simplifier
Easily convert fractions to their simplest form. Get step-by-step explanations!
Your simplified fraction will appear here
Try These Examples
Common Fraction Tips
To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator, then divide both by it.
- Always check if both numbers are even
- Look for common factors like 2, 3, 5
- The result should be in lowest terms
Quick Guides
Common Fraction to Decimal Conversion Table
| Fraction | Decimal | Percentage | Fraction | Decimal | Percentage |
|---|---|---|---|---|---|
| 1/2 | 0.5 | 50% | 1/3 | 0.333... | 33.33% |
| 1/4 | 0.25 | 25% | 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% | 2/5 | 0.4 | 40% |
| 1/6 | 0.166... | 16.67% | 5/6 | 0.833... | 83.33% |
| 1/8 | 0.125 | 12.5% | 3/8 | 0.375 | 37.5% |
Visual Guide to Simplifying Fractions
Example: 4/8 = 1/2
Both segments represent the same portion (one half) of the whole
Example: 6/9 = 2/3
Six ninths can be simplified to two thirds
Try It: Drag to Compare
Common Questions About Simplifying Fractions
What does it mean to simplify a fraction?
Simplifying a fraction means reducing it to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD). This gives you an equivalent fraction that cannot be reduced further.
How do you know when a fraction is fully simplified?
A fraction is fully simplified when the numerator and denominator have no common factors other than 1. In other words, they are coprime numbers.
Why do we simplify fractions?
Simplifying fractions makes them easier to understand, compare, and work with in calculations. It's also helpful when solving equations or working with more complex mathematical expressions.
Quick Methods for Simplifying Fractions
Method 1: Common Factors
- List factors of numerator and denominator
- Identify common factors
- Divide by the largest common factor
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- Largest common factor: 12
- 24 ÷ 12 = 2, 36 ÷ 12 = 3
- Therefore, 24/36 = 2/3
Practice Problems
Try these randomly generated problems. Refresh the page for new examples!
Beginner Level
Simple fractions with small numbers
Intermediate Level
Two-digit numbers with common factors
Advanced Level
Larger numbers requiring multiple steps