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Math • Simplify Fraction Calculator

Simplify Fraction Calculator

Reduce any fraction to its lowest terms using the greatest common divisor, plus its decimal and percentage equivalent.

Lowest Terms
3 / 4
Divided by GCD = 16
Decimal Equivalent
0.750000
Percentage
75.00%
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Calculation Guide & Reference

Fraction Simplification Mathematics

Simplify fraction calculator reduces any fraction to its lowest terms using the greatest common divisor, plus decimal and percentage equivalents.

Standardized Mathematical Formula
Simplified Fraction = (a ÷ GCD(a,b)) / (b ÷ GCD(a,b))

A fraction is in lowest terms when its numerator and denominator share no common factors. Dividing both by their greatest common divisor (GCD) simplifies it in one step.

Variables:
a:Numerator
b:Denominator
GCD(a,b):Greatest common divisor of a and b
How It Works (Step-by-Step)
  • 1Enter the numerator and denominator of any fraction.
  • 2View the fraction reduced to lowest terms, plus its decimal and percentage equivalent.
Real-World Numerical Example
Simplifying 48/64

Reduce the fraction 48/64 to lowest terms.

•GCD(48, 64) = 16.
•Numerator: 48 ÷ 16 = 3.
•Denominator: 64 ÷ 16 = 4.
Result: 48/64 simplifies to 3/4 (0.75, or 75%).
Calculation Best Practices & Tips
Examine the discriminant (b² - 4ac) before solving quadratics to instantly know if roots are real, distinct, repeated, or complex.
In statistical analysis, always check both the mean and median to identify if data distribution is skewed by outliers.
When calculating percentage changes, ensure you divide by the original starting baseline value: ((New - Old) / Old) * 100.

Frequently Asked Questions (FAQ)

Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by it. The result is the fraction in lowest terms.

A fraction is fully simplified when its numerator and denominator have a GCD of 1 — meaning they share no common factors other than 1.

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