Sure! Let's walk through the process of simplifying each fraction step-by-step.
### 1. Simplifying the Fraction [tex]\(\frac{9}{-13}\)[/tex]
This fraction has a positive numerator and a negative denominator. When you divide a positive by a negative, the result is negative. Therefore, we can write:
[tex]\[
\frac{9}{-13} = -\frac{9}{13}
\][/tex]
Now let's express this as a decimal:
[tex]\[
-\frac{9}{13} \approx -0.6923076923076923
\][/tex]
So the simplified form of [tex]\(\frac{9}{-13}\)[/tex] is approximately [tex]\(-0.6923076923076923\)[/tex].
### 2. Simplifying the Fraction [tex]\(\frac{-11}{-13}\)[/tex]
In this fraction, both the numerator and the denominator are negative. When you divide a negative by a negative, the result is positive. Therefore, we can write:
[tex]\[
\frac{-11}{-13} = \frac{11}{13}
\][/tex]
Now let's express this as a decimal:
[tex]\[
\frac{11}{13} \approx 0.8461538461538461
\][/tex]
So the simplified form of [tex]\(\frac{-11}{-13}\)[/tex] is approximately [tex]\(0.8461538461538461\)[/tex].
### Summary
- The simplified form of [tex]\(\frac{9}{-13}\)[/tex] is approximately [tex]\(-0.6923076923076923\)[/tex].
- The simplified form of [tex]\(\frac{-11}{-13}\)[/tex] is approximately [tex]\(0.8461538461538461\)[/tex].
I hope this helps! Feel free to ask any further questions.
