Certainly! Let's break down the steps to solve the problem where we need to add two fractions, [tex]\(\frac{8}{8}\)[/tex] and [tex]\(-\frac{4}{9}\)[/tex].
1. Simplify the fractions:
- [tex]\(\frac{8}{8}\)[/tex]: Any number divided by itself is 1. Thus, [tex]\(\frac{8}{8} = 1\)[/tex].
- [tex]\(-\frac{4}{9}\)[/tex]: This fraction is already in its simplest form, so it remains [tex]\(-\frac{4}{9}\)[/tex].
2. Convert into decimal form to understand values:
- [tex]\(\frac{8}{8} = 1.0\)[/tex]
- [tex]\(-\frac{4}{9} \approx -0.4444444444444444\)[/tex]
3. Add the fractions (or their decimal equivalents):
- We are essentially summing [tex]\(1.0\)[/tex] and [tex]\(-0.4444444444444444\)[/tex].
4. Perform the addition:
- [tex]\(1.0 + (-0.4444444444444444) = 0.5555555555555556\)[/tex]
Therefore, the result of the addition [tex]\(\frac{8}{8} + (-\frac{4}{9})\)[/tex] is [tex]\(0.5555555555555556\)[/tex].
