Respuesta :
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!!
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]
:)
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]
:)