Answer :
We will investigate the equivalence of fractions.
We have the first statement as follows:
" 4 divided by 3/2"We will go ahead and decrypt the above statement mathematically by the use of fractions as follows:
[tex]\frac{4}{\frac{3}{2}}[/tex]We will now use the conversion of division operator to a multiplication operator by reciprocating the denominator as follows:
[tex]4\cdot\text{ }\frac{2}{3}[/tex]Simplify the above fraction as follows:
[tex]\frac{8}{3}[/tex]The next statement is given as such:
" 4 divided by 2/3"We will go ahead and decrypt the above statement mathematically by the use of fractions as follows:
[tex]\frac{4}{\frac{2}{3}}[/tex]We will now use the conversion of division operator to a multiplication operator by reciprocating the denominator as follows:
[tex]4\cdot\frac{3}{2}[/tex]Simplify the above fraction as follows:
[tex]6[/tex]If we compare the results of two statement we can say that the statements are not equal.
[tex]\frac{8}{3}\text{ }\ne\text{ 6}[/tex]