Calculate: z/7 = 4/6

Expression: $\frac{z}{7}=\frac{4}{6}$

Cancel the common factor: $ 2$

$\frac{z}{7}=\frac{2}{3}$

Multiply both sides by $7$

$\frac{7z}{7}=\frac{2\cdot 7}{3}$

Simplify

$z=\frac{14}{3}$