Fraction Simplifier
Reduce a fraction to its simplest form and convert it to a decimal and percentage.
Inputs
Simplified Fraction
3/4
As Decimal
0.750000
As Percentage
75.0000%
Step by step
Identify the original fraction
18 / 24
Find the GCD of numerator and denominator
GCD(18, 24)
= 6
Divide both parts by the GCD
18 ÷ 6 = 3, 24 ÷ 6 = 4
= 3/4
Convert to decimal
18 ÷ 24
= 0.750000
Convert to percentage
0.750000 × 100
= 75.0000%
How it works
A fraction is simplified by dividing the numerator and denominator by their greatest common divisor (GCD). The result is the smallest whole-number ratio equal to the original.
Formulas
Simplified fraction
Simplified = (Numerator ÷ GCD) / (Denominator ÷ GCD)
- n
- Numerator
- d
- Denominator
- GCD(n,d)
- Greatest common divisor of numerator and denominator
Decimal and percentage
Decimal = Numerator ÷ Denominator; Percent = Decimal × 100
- n
- Numerator
- d
- Denominator
Frequently Asked Questions
What is a greatest common divisor?
The GCD is the largest number that divides both the numerator and denominator exactly. Dividing both by it reduces the fraction to lowest terms.
How do I convert a fraction to a percent?
Divide the numerator by the denominator to get a decimal, then multiply by 100. For example, 18/24 = 0.75 = 75%.