Question

5x=6y
Atunci 2x supra 3y =

Answer 1

5x = 6y
Trebuie sa transformam fractia in ceva ce contine 5x sau 6y
$\frac{2x}{3y} = \frac{5 \times 2x}{5 \times 3y} = \frac{10x}{15y}$
Putem sa scriem 10x ca 5x×2

$\frac{5x \times 2}{15y} = \frac{6y \times 2}{15y} = \frac{12y}{15y}$
Se simplifica y
$\frac{12}{15} = \frac{4}{5}$
Raspuns = 4/5

Haide sa facem o verificare:
$\frac{2x}{3y} = \frac{4}{5} \\ 5 \times 2x = 4 \times 3y \\ 10x = 12y \\ 5x = 6y$

Answer 2

$5x = 6y \\ \\\dfrac{2}{2}\cdot 5x = \dfrac{3}{3}\cdot 6y \\ \\ 2x\cdot \dfrac{5}{2} =3y\cdot \dfrac{6}{3} \\ \\ \dfrac{2x}{3y} = \dfrac{6}{3}\cdot \dfrac{2}{5} \\ \\ \Rightarrow \boxed{\dfrac{2x}{3y} =\dfrac{4}{5}}$