To simplify the fraction [tex]\(\frac{4}{8}\)[/tex], we need to reduce it to its simplest form. Follow these steps:
1. Identify the numerator and the denominator:
- The numerator of the fraction is [tex]\(4\)[/tex].
- The denominator of the fraction is [tex]\(8\)[/tex].
2. Determine the greatest common divisor (GCD):
- The GCD of 4 and 8 is [tex]\(4\)[/tex]. This is because 4 is the largest number that divides both 4 and 8 without leaving a remainder.
3. Divide both the numerator and the denominator by the GCD:
- Divide the numerator [tex]\(4\)[/tex] by the GCD [tex]\(4\)[/tex]:
[tex]\[
\frac{4}{4} = 1
\][/tex]
- Divide the denominator [tex]\(8\)[/tex] by the GCD [tex]\(4\)[/tex]:
[tex]\[
\frac{8}{4} = 2
\][/tex]
4. Write the simplified fraction:
- The fraction [tex]\(\frac{4}{8}\)[/tex] simplified is [tex]\(\frac{1}{2}\)[/tex].
Therefore, the fraction [tex]\(\frac{4}{8}\)[/tex] simplifies to [tex]\(\frac{1}{2}\)[/tex].
