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stim că
[tex] \frac{a}{b} [/tex]
=
[tex] \frac{5}{12} [/tex]
determina raportul
[tex] \frac{2a + 5b}{3a + 2b} [/tex]


Răspuns :

[tex]\frac{a}{b}= \frac{5}{12}\\a=\frac{5b}{12}[/tex]

[tex]2a+5b=2*\frac{5b}{12} +5b=\frac{10b}{12}+ \frac{60b}{12} =\frac{70b}{12}[/tex]

[tex]3a+2b=3*\frac{5b}{12} +2b=\frac{15b}{12}+\frac{24b}{12}=\frac{39b}{12}[/tex]

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