Sure! Let's simplify the fraction [tex]\(\frac{6}{80}\)[/tex] step-by-step.
1. Identify the Greatest Common Divisor (GCD):
The first step in simplifying a fraction is to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of two numbers is the largest number that divides both of them without leaving a remainder.
For the numbers [tex]\(6\)[/tex] and [tex]\(80\)[/tex], the GCD is [tex]\(2\)[/tex].
2. Divide the Numerator and Denominator by the GCD:
Once we have the GCD, we divide both the numerator and the denominator by this number to simplify the fraction.
[tex]\[
\frac{6}{80} = \frac{6 \div 2}{80 \div 2} = \frac{3}{40}
\][/tex]
3. Write the Simplified Fraction:
After dividing, the simplified form of the fraction is:
[tex]\[
\frac{6}{80} = \frac{3}{40}
\][/tex]
Therefore, the fraction [tex]\(\frac{6}{80}\)[/tex] simplifies to [tex]\(\frac{3}{40}\)[/tex].
