To solve the equation \(\frac{5}{3}z = 25\), follow these steps:
-
Multiply both sides by \(\frac{3}{5}\) to isolate \(z\):
\[ z = 25 \cdot \frac{3}{5} \]
-
Calculate the right-hand side:
\[ z = 25 \cdot \frac{3}{5} = \frac{25 \cdot 3}{5} \]
Simplifying \(\frac{25 \cdot 3}{5}\):
\[ z = \frac{75}{5} = 15 \]
So, the solution is
\[ \boxed{15} \]