Sure, let's go through each of the fractions and convert them to their decimal representations step by step.
1. \-9/11:
By dividing [tex]\( -9 \)[/tex] by [tex]\( 11 \)[/tex], we get:
[tex]\[
-\frac{9}{11} \approx -0.8181818181818182
\][/tex]
2. \-2/3:
By dividing [tex]\( -2 \)[/tex] by [tex]\( 3 \)[/tex], we get:
[tex]\[
-\frac{2}{3} \approx -0.6666666666666666
\][/tex]
3. \-7/13:
By dividing [tex]\( -7 \)[/tex] by [tex]\( 13 \)[/tex], we get:
[tex]\[
-\frac{7}{13} \approx -0.5384615384615384
\][/tex]
4. \-3/7:
By dividing [tex]\( -3 \)[/tex] by [tex]\( 7 \)[/tex], we get:
[tex]\[
-\frac{3}{7} \approx -0.42857142857142855
\][/tex]
5. \-1/3:
By dividing [tex]\( -1 \)[/tex] by [tex]\( 3 \)[/tex], we get:
[tex]\[
-\frac{1}{3} \approx -0.3333333333333333
\][/tex]
6. 5/33:
By dividing [tex]\( 5 \)[/tex] by [tex]\( 33 \)[/tex], we get:
[tex]\[
\frac{5}{33} \approx 0.15151515151515152
\][/tex]
7. 5/39:
By dividing [tex]\( 5 \)[/tex] by [tex]\( 39 \)[/tex], we get:
[tex]\[
\frac{5}{39} \approx 0.1282051282051282
\][/tex]
8. 10/91:
By dividing [tex]\( 10 \)[/tex] by [tex]\( 91 \)[/tex], we get:
[tex]\[
\frac{10}{91} \approx 0.10989010989010989
\][/tex]
9. 2/21:
By dividing [tex]\( 2 \)[/tex] by [tex]\( 21 \)[/tex], we get:
[tex]\[
\frac{2}{21} \approx 0.09523809523809523
\][/tex]
10. \-10/429:
By dividing [tex]\( -10 \)[/tex] by [tex]\( 429 \)[/tex], we get:
[tex]\[
-\frac{10}{429} \approx -0.023310023310023312
\][/tex]
11. \-5/273:
By dividing [tex]\( -5 \)[/tex] by [tex]\( 273 \)[/tex], we get:
[tex]\[
-\frac{5}{273} \approx -0.018315018315018316
\][/tex]
12. \-4/273:
By dividing [tex]\( -4 \)[/tex] by [tex]\( 273 \)[/tex], we get:
[tex]\[
-\frac{4}{273} \approx -0.014652014652014652
\][/tex]
By converting all the given fractions into their decimal form, the list of results is:
[tex]\[
\left[
-0.8181818181818182, -0.6666666666666666,
-0.5384615384615384, -0.42857142857142855,
-0.3333333333333333, 0.15151515151515152,
0.1282051282051282, 0.10989010989010989,
0.09523809523809523, -0.023310023310023312,
-0.018315018315018316, -0.014652014652014652
\right]
\][/tex]
