Respuesta :

First, you will need to convert the fractions to their improper form:

[tex]\begin{gathered} 2\frac{1}{4}=\frac{9}{4}, \\ 2\frac{1}{8}=\frac{17}{8}, \\ 2\frac{1}{2}=\frac{5}{2}, \\ 1\frac{7}{10}=\frac{17}{10}, \\ 1\frac{4}{5}=\frac{9}{5} \\ \text{You will need the LCM of 4, 8, 2, 10, and 5 which are the denominators of the fractions, and it is 80:} \\ \end{gathered}[/tex][tex]\begin{gathered} \frac{9(80)}{4}=180 \\ \frac{17(80)}{8}=170 \\ \frac{5(80)}{2}=200 \\ \frac{17(80)}{10}=136 \\ \frac{9(80)}{5}=144 \end{gathered}[/tex]

Arranging these values from the least to the greatest, we have:

136, 144, 170, 180, and 200.

These values correspond to the fractions:

[tex]1\frac{7}{10},\text{ 1}\frac{4}{5},2\frac{1}{8},2\frac{1}{4},\text{ and lastly 2}\frac{1}{2}\text{.}[/tex]