[tex] \sf{(2 \ \frac{1}{8} \times \frac{2}{5}) \div \frac{1}{4} = }[/tex]
[tex] \sf{ = ( \frac{17}{8} \times \frac{2}{5} ) \div \frac{1}{4} }[/tex]
[tex] \sf{ = ( \frac{17 \times 2}{8 \times 5} ) \div \frac{1}{4} }[/tex]
[tex] \sf{ = \frac{34}{40} \div \frac{1}{4} }[/tex]
[tex] \sf{ = \frac{34}{40} \times \frac{4}{1} }[/tex]
[tex] \sf{ = \frac{34 \times 4}{40 \times 1} }[/tex]
[tex] \sf{ = \frac{136}{40} }[/tex]
[tex] \sf{ = \frac{17}{5} }[/tex]
[tex] \boxed{ \sf{ = 3 \ \frac{2}{5} }}[/tex]
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[tex] \sf{(2 \ \frac{1}{8} \times \frac{2}{5}) \div \frac{1}{4} = }[/tex]
[tex] \sf{ = ( \frac{17}{8} \times \frac{2}{5} ) \div \frac{1}{4} }[/tex]
[tex] \sf{ = ( \frac{17 \times 2}{8 \times 5} ) \div \frac{1}{4} }[/tex]
[tex] \sf{ = \frac{34}{40} \div \frac{1}{4} }[/tex]
[tex] \sf{ = \frac{34}{40} \times \frac{4}{1} }[/tex]
[tex] \sf{ = \frac{34 \times 4}{40 \times 1} }[/tex]
[tex] \sf{ = \frac{136}{40} }[/tex]
[tex] \sf{ = \frac{17}{5} }[/tex]
[tex] \boxed{ \sf{ = 3 \ \frac{2}{5} }}[/tex]