Sure, let's go through the process of simplifying the fraction [tex]\(\frac{8}{48}\)[/tex].
1. Identify the greatest common divisor (GCD):
- To simplify the fraction [tex]\(\frac{8}{48}\)[/tex], we first need to determine the greatest common divisor of 8 and 48. The GCD is the largest number that can exactly divide both the numerator (8) and the denominator (48).
2. Divide the numerator and the denominator by the GCD:
- Once we find the GCD, we divide both the numerator and the denominator by this number to simplify the fraction.
Let's follow this process step by step:
- The GCD of 8 and 48 is 8.
3. Simplify the fraction:
- Divide the numerator (8) by the GCD (8): [tex]\(\frac{8}{8} = 1\)[/tex].
- Divide the denominator (48) by the GCD (8): [tex]\(\frac{48}{8} = 6\)[/tex].
Thus, the simplified form of the fraction [tex]\(\frac{8}{48}\)[/tex] is [tex]\(\frac{1}{6}\)[/tex].
So, the correct answer is:
D. [tex]\(\frac{1}{6}\)[/tex]
