Question

Stiind ca a supra b =3 supra 7, calculati 2a+3b supra 4b

Answer 1

$\frac{a}{b}=\frac{3}{7} \\\\ \frac{a}{3}=\frac{b}{7}=k \\\\ a=3k \\\\ b=7k \\\\\\ \frac{2a+3b}{4b}=\frac{2*3k+3*7k}{4*7k}=\frac{6k+21k}{28k}=\frac{27k}{28k} \to \boxed{\frac{2a+3b}{4b}=\frac{27}{28}}$