Fraction Simplifier
Simplify fractions to their lowest terms with step-by-step calculations. Reduce fractions by finding the greatest common factor and dividing both numerator and denominator.
Simplify Fractions
Common Fraction Simplifications
Click on these links to see instant simplifications with common fractions:
Fraction Simplification
Simplifying fractions means reducing them to their lowest terms by dividing both the numerator and denominator by their greatest common factor (GCF).
Simplification Process
Step 2: Divide both numerator and denominator by the GCF
Step 3: The result is the simplified fraction
Example: 12/16 → GCF(12,16) = 4 → 12÷4 / 16÷4 = 3/4
Common Fraction Simplifications
| Original Fraction | GCF | Simplified Fraction | Decimal |
|---|---|---|---|
| 12/16 | 4 | 3/4 | 0.75 |
| 15/20 | 5 | 3/4 | 0.75 |
| 24/36 | 12 | 2/3 | 0.667 |
| 50/100 | 50 | 1/2 | 0.5 |
| 18/27 | 9 | 2/3 | 0.667 |
- Mathematics: Simplify fractions in homework, tests, and mathematical calculations
- Cooking: Reduce recipe measurements to simpler fractions for easier measuring
- Construction: Simplify measurements and proportions in building projects
- Finance: Express ratios and proportions in their simplest form
- Education: Learn fraction concepts and practice simplification skills
Frequently Asked Questions
How do you simplify fractions?
To simplify a fraction, find the greatest common factor (GCF) of the numerator and denominator, then divide both by the GCF. For example, 12/16 = 3/4 (dividing both by 4).
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.
When is a fraction already in simplest form?
A fraction is in simplest form when the greatest common factor of the numerator and denominator is 1. This means they share no common factors other than 1.