Given the numbers:
[tex]-3.95,\text{ -3.2, -3}\frac{1}{4},\text{ -3}\frac{6}{7},\text{ -}\sqrt[]{15,}\text{ -}\frac{17}{4}[/tex]To arrange this numbers from the smallest to the largest, let's convert all the numbers to decimals.
[tex]-3.95=\Longrightarrow\text{ is already in decimal form}[/tex][tex]-3.2\text{ =}\Longrightarrow\text{ is already in decimal form}[/tex][tex]-3\frac{1}{4}=\text{ -}3.25[/tex][tex]-3\frac{6}{7}=\text{ -3.}86[/tex][tex]-\sqrt[]{15}\text{ = }-3.873[/tex][tex]-\frac{17}{4}=-4.25[/tex]Now, we have all the numbers as decimals.
Arranging them from smallest to largest (ascending order), we have:
-4.25
-3.95
-3.87
-3.86
-3.25
-3.2
Thus, we have:
ANSWER:
[tex]\begin{gathered} -\frac{17}{4} \\ \\ -3.95 \\ \\ -\sqrt[]{15} \\ \\ -3\frac{6}{7} \\ \\ -3\frac{1}{4} \\ \\ -3.2 \end{gathered}[/tex]