Fraction Simplifier Calculator 2025: Complete Guide
Simplify any fraction instantly using the Fraction Simplifier. Reduce to lowest terms, convert improper fractions to mixed numbers, and get decimal output. Full GCD steps included.
How to Simplify a Fraction
- Find GCD of numerator and denominator
- Divide both by GCD
- Result is in lowest terms
Step-by-Step: Simplify 12/18
GCD(12, 18) = 6
12 ÷ 6 = 2
18 ÷ 6 = 3
12/18 = 2/3
Improper to Mixed Number
5/2 = 2 1/2
5 ÷ 2 = 2 remainder 1 → 2 1/2
GCD Using Euclidean Algorithm
GCD(a, b) = GCD(b, a mod b)
Example: GCD(48, 18)
- GCD(48, 18) → 48 mod 18 = 12
- GCD(18, 12) → 18 mod 12 = 6
- GCD(12, 6) → 12 mod 6 = 0
- GCD = 6
Common Mistakes
- Dividing by wrong GCD
- Forgetting to reduce fully
- Negative signs in wrong place
- Zero denominator
Real-World Uses
- Cooking: 3/4 cup → 1 1/2 cups
- Construction: 5/8 inch
- Finance: 1/3 of budget
- Probability: 2/5 chance
Advanced Tools
FAQs
Can it handle negative fractions? Yes — -12/18 = -2/3
What if denominator is 1? Already simplified: 5/1 = 5
Zero numerator? 0/5 = 0
Conclusion
Fractions are everywhere. Our 2025 Fraction Simplifier makes reduction instant and accurate with full steps. From homework to real-world math, simplify confidently. Enter your fraction now!
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