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Brian Cooley · Answer 1 · 2023-05-30T11:23:50+0000

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

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

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

136, 144, 170, 180, and 200.

These values correspond to the fractions:

$1(7)/(10),\text{ 1}(4)/(5),2(1)/(8),2(1)/(4),\text{ and lastly 2}(1)/(2)\text{.}$

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