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dacă [tex] \frac{a}{b} [/tex] = [tex] \frac{2}{3} } [/tex] , calculați [tex]\frac{4a-b}{3a+b} } } [/tex]

Răspuns :

a:b=2:3
a=2 b=3
(4x2-3):(3x2+3)=(8-3):(6+3)=5:9
a/b=2/3
a=2b/3
(4x2b/3-b)/(3x2b/3+b)=
=(8b/3-b)/(6b/3+b)=
=(8/3-1)/(2+1)=
=[(8-3)/3]/3=
=5/9