Simplifying Fractions Calculator
Reduce fractions to lowest terms using the greatest common divisor (GCD) with step-by-step calculations. Perfect for math homework, fraction simplification, and learning proper fraction reduction.
Fraction Simplifier
Common Fraction Simplifications
Click on these links to see instant simplifications with common fractions:
Simplifying Fractions
Simplifying fractions means reducing them to their lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD). This creates an equivalent fraction that cannot be reduced further.
Fraction Simplification Process
Step 2: Divide both numerator and denominator by GCD
Example: 12/18
GCD(12, 18) = 6
12 ÷ 6 = 2, 18 ÷ 6 = 3
Result: 2/3
Common Fraction Simplifications
| Original Fraction | GCD | Simplified Fraction | Decimal |
|---|---|---|---|
| 12/18 | 6 | 2/3 | 0.667 |
| 15/25 | 5 | 3/5 | 0.6 |
| 24/36 | 12 | 2/3 | 0.667 |
| 8/12 | 4 | 2/3 | 0.667 |
| 20/30 | 10 | 2/3 | 0.667 |
- Mathematics: Simplify fractions in algebra, geometry, and arithmetic problems
- Cooking: Reduce recipe measurements to simpler equivalent fractions
- Construction: Simplify measurements and proportions in building projects
- Education: Learn proper fraction reduction techniques and GCD concepts
- Finance: Simplify ratios and proportions in financial calculations
Frequently Asked Questions
How do you simplify fractions?
To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD. For example, 12/18 = (12÷6)/(18÷6) = 2/3.
What does it mean to reduce a fraction to lowest terms?
Reducing a fraction to lowest terms means simplifying it so that the numerator and denominator have no common factors other than 1. The fraction cannot be simplified further.
What is the GCD in fraction simplification?
The GCD (Greatest Common Divisor) is the largest number that divides both the numerator and denominator evenly. Finding the GCD is the key step in simplifying fractions to their lowest terms.