Question

daca x supra y=0,(6) aflati valoarea raportului 2x+y supra x+3y

Answer 1

Răspuns

$\displaystyle\frac{7}{11}$

Explicație pas cu pas:

$\displaystyle\\\frac{x}{y}=0,(6)=\frac69=\frac23\\\\3x=2y\rightarrow x=\frac23y\\\\\frac{2x+y}{x+3y}=\frac{2\cdot\frac23y+y}{\frac23y+3y}=\frac{\frac{4y+3y}{3}}{\frac{2y+9y}{3}}=\frac{7y}{3}\cdot\frac{3}{11y}=\frac{7}{11}$