College

Put these numbers in order from greatest to least.

\[ -\frac{9}{15} \]
\[ \frac{16}{32} \]
\[ -\frac{3}{30} \]
\[ 7 \frac{32}{40} \]
\[ 7 \frac{18}{36} \]

Answer :

Sure! Let's put the given numbers in order from greatest to least. Here are the numbers we need to arrange:

1. [tex]\(-\frac{9}{15}\)[/tex]
2. [tex]\(\frac{16}{32}\)[/tex]
3. [tex]\(-\frac{3}{30}\)[/tex]
4. [tex]\(7 \frac{32}{40}\)[/tex]
5. [tex]\(7 \frac{18}{36}\)[/tex]

First, let's convert all the mixed numbers and fractions to decimal form for easier comparison.

1. [tex]\(-\frac{9}{15} = -0.6\)[/tex]
2. [tex]\(\frac{16}{32} = 0.5\)[/tex]
3. [tex]\(-\frac{3}{30} = -0.1\)[/tex]
4. [tex]\(7 \frac{32}{40} = 7 + \frac{32}{40} = 7 + 0.8 = 7.8\)[/tex]
5. [tex]\(7 \frac{18}{36} = 7 + \frac{18}{36} = 7 + 0.5 = 7.5\)[/tex]

Now, let's list all these values:
\- -0.6
\- 0.5
\- -0.1
\- 7.8
\- 7.5

Finally, we need to arrange these values from greatest to least:
\- 7.8
\- 7.5
\- 0.5
\- -0.1
\- -0.6

Thus, the order of the numbers from greatest to least is:
[tex]\[ 7 \frac{32}{40}, 7 \frac{18}{36}, \frac{16}{32}, -\frac{3}{30}, -\frac{9}{15} \][/tex]