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dacă
[tex] \frac{2x}{3y} = \frac{4}{5} \: [/tex]
Atunci
[tex] \frac{x}{?y} = [/tex]


Răspuns :

Răspuns:

Explicație pas cu pas:

[tex]\frac{2x}{3y} =*\frac{4}{5} |*\frac{3}{2}, \frac{2x}{3y}*\frac{3}{2}=\frac{4}{5}*\frac{3}{2}\\\frac{x}{y}=\frac{4*3}{5*2}=\frac{6}{5}[/tex]

 

[tex]\displaystyle\\\frac{2x}{3y}=\frac{4}{5}\\\\\\\frac{2}{3}\times\frac{x}{y}=\frac{4}{5}\\\\\\\frac{x}{y}=\frac{~~\dfrac{4}{5}~~}{\dfrac{2}{3}}\\\\\\\frac{x}{y}=\frac{4}{5}\times\frac{3}{2}\\\\\\\frac{x}{y}=\frac{4\times3}{5\times2}\\\\\\\frac{x}{y}=\frac{2\times3}{5}\\\\\\\boxed{\bf\frac{x}{y}=\frac{6}{5}}[/tex]