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daca : a/5=b/9 , calculati valoarea raportului 3a-b/4b+2a
99 puncte!!


Răspuns :

(3a-b)/(4b+2a)=?
a/5=b/9 => 5b=9a

a=5b/9
(3a-b)/(4b+2a)=
(3*5b/9-b)/(4b+2*5b/9)=
(15b/9-b)/(4b+10b/9)=
b(15/9-1)/b(4+10/9)=
(15/9-1)/(4+10/9)=
(6/9)/(46/9)=
2/3/46/9=
2*9/3*46=
18/138=
3/23