(1/2 / 3/4) / 3/2
primero resolvemos el parentesis asi:
([tex] \frac{ (\frac{1}{2} * \frac{4}{3} )}{ \frac{3}{2} } [/tex])
multiplicamos
[tex] \frac{\frac{4}{6} }{ \frac{3}{2} } [/tex]
resolvemos la fraccion
[tex] \frac{4}{6} * \frac{2}{3} [/tex]
multiplicamos
[tex] \frac{8}{18} [/tex]
simplificamos
[tex] \frac{4}{9} [/tex]
:)