🎓 Mathematics • Fractions
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Fraction Simplifier
Reduces any numerator and denominator to lowest irreducible terms using GCD cancellation.
Fractions & Number Theory
Fractions, Primes & Factors Studio
Precision fraction reduction to lowest terms, primality tests, Sieve of Eratosthenes generator, divisor sums, and Euclidean GCD/LCM steps.
Input Fraction
Try Examples:
Proper Fraction
4864
34
Decimal0.75
Percentage75%
GCD Divisor16
Step-by-Step Reduction
1. Calculate greatest common divisor: GCD(48, 64) = 16
2. Divide numerator and denominator by 16: (48 ÷ 16) / (64 ÷ 16) = 3/4
What is Fraction Simplification?
Simplifying a fraction divides both the numerator and denominator by their greatest common factor until no common factors remain.
Simplification preserves the exact proportional value while using the smallest whole numbers.
Formula & Step-by-Step Calculation
Reduced = (a ÷ GCD) / (b ÷ GCD)
Dividing numerator and denominator by GCD(a, b) produces the irreducible form.
Worked Step-by-Step Examples
Example 1
Simplify 24/36
Solution: 2/3
• GCD of 24 and 36 is 12. 24/12 = 2, 36/12 = 3. Result: 2/3
Common Real-World & Academic Use Cases
- ✓ Standardizing math exam answers
- ✓ Unit conversions
- ✓ Odds simplification
How to Use the Fraction Simplifier
1
Enter Fraction
Input numerator and denominator.
2
Read Reduced Form
Inspect irreducible fraction and decimal.
Frequently Asked Questions
Q: What is an improper fraction?
A fraction where the numerator is greater than or equal to the denominator.