Question

Numerele rationale a si b indeplinesc relatia $<var>\frac{a}{2}=\frac{b}{9}</var>$ .

Calculati $<var>\frac{10a-2b}{5a+b}</var>$ .

Answer 1

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