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Numerele rationale a si b indeplinesc relatia [tex]\frac{a}{2}=\frac{b}{9}[/tex] .

Calculati [tex]\frac{10a-2b}{5a+b}[/tex] .



Răspuns :

[tex] \frac{a}{2} = \frac{b}{9} =>a= \frac{2b}{9} ;Inlocuim a rezlta \frac{10* \frac{2b}{9} -2b}{ 5*\frac{2b}{9}+b } = \frac{ \frac{20b-18b}{2} }{ \frac{10b+9b}{9} }= \frac{ \frac{2b}{9} }{ \frac{19b}{y9} } = \frac{2}{19} [/tex]