Hey there!
[tex]\frac{2}{5}[/tex] [tex]*[/tex] [tex]\frac{3}{8}[/tex] [tex]=[/tex] [tex]\frac{3}{20}[/tex]
So, we have to go through all of your choices to find which one is equivalent to [tex]\frac{3}{20}[/tex]
A. [tex]\frac{3}{8}[/tex] ÷[tex]\frac{2}{5}[/tex] [tex]=[/tex] [tex]\frac{3}{80}[/tex] (Not our answer we're looking for so this means that option is [tex]\boxed{incorrect}[/tex] (possibly our answer if we're closer to it)
B. [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{3}{8}[/tex] [tex]=[/tex] [tex]\frac{1}{60}[/tex] (Not the answer you're looking for so this means that this option is [tex]\boxed{incorrect}[/tex]
C. [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{8}{3}[/tex] [tex]=[/tex] [tex]\frac{1}{60}[/tex] because it is closer to option B but it is also equivalent so this makes our answer this so → [tex]\boxed{CORRECT}[/tex]
D. [tex]\frac{5}{2}[/tex] ÷ [tex]\frac{8}{3}[/tex] [tex]=[/tex] [tex]\frac{5}{48}[/tex] it isn't equivalent to the equation, so this is equation too. So, this is [tex]\boxed{incorrect}[/tex]
Answer: [tex]\boxed{Option C.}[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
