[tex]\begin{gathered} 4\times2\frac{1}{8}=4\times(\frac{8\times2+1}{8}) \\ =4\times\frac{16+1}{8} \\ =\frac{17}{2} \\ =8.5 \end{gathered}[/tex][tex]\frac{17}{8}\times\frac{5}{1}=\frac{85}{8}=10.625[/tex][tex]\begin{gathered} 3\frac{1}{8}\times\frac{12}{2}=\frac{3\times8+1}{8}\times6 \\ =\frac{25}{8}\times6 \\ =\frac{25}{4}\times3 \\ =\frac{75}{4} \\ =18.75 \end{gathered}[/tex]
Therefore, the expressions can be arranged from least to greatest as,
[tex]4\times2\frac{1}{8}\text{ < }\frac{17}{8}\times\frac{5}{1}\text{ < 3}\frac{1}{8}\times\frac{12}{2}[/tex]
