Respuesta :

Jeizon1L
OJO:

a/b ÷  c/d =  (a*d)/ (b*c)

De tal modo:

[ (1/2) / (3/4)] / ( 3/2 )   =  [  (1*4)/(2/3) ] / (3/2)

[ (1/2) / (3/4)] / ( 3/2 )   =  [  2/3]   / (3/2)

[ (1/2) / (3/4)] / ( 3/2 )   =  (2*2)/(3*3)

[ (1/2) / (3/4)] / ( 3/2 )   =  4/9 ← Respuesta


Eso es todo!!
(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]

:)

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