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Dacă a/b=3/4 atunci 3a+2b/2b-a este egal cu...

Răspuns :

a/b=3/4
⇒4a=3b
⇒  a=3b/4
(3a+2b)/(2b-a)
=(9b/4+2b)/(2b-3b/4)
=[(9b+8b)/4]/[(8b-3)/4]
=17b/4·4/5b
=17b/5b

=17/5
=3,4        
 
 



BAFFTA

a/b=3/4=>a=3b/4
3a+2b/2b-a=
=3•(3b/4)+ 2b/2b-(3b/4)
=(9b/4)+2b/2b-(3b/4)
=(9b+8b)/4/(8b-3b)/4
=17b/4/5b/4
=17b/4•4/5b
=17b/5b
Voi simplifica b cu b si voi obtine:
17/5