Respuesta :

[tex] \dfrac{4}{z}=\dfrac{12}{5}\\\\
12z=20\\\\
z=\dfrac{20}{12}=\dfrac{5}{3} [/tex]

Step 1: 4/z = 12/5 (original question)

Step 2(cross-multiply): 4(5) = z(12)

Step 3: 20 = z(12)

Step 4: 20 = 12z

Step 5: 12 = 20

Step 6: Divide both sides by 12.

Step 7: z = 20/12

Step 7(reduce the fraction): z = 3/5 <<<Answer

I hope this assisted you! Good luck! :)