To solve the equation \(\frac{90}{z} - 1 = 15\), follow these steps:
- Add 1 to both sides of the equation:
\[ \frac{90}{z} = 15 + 1 \]
\[ \frac{90}{z} = 16 \]
- Next, multiply both sides by \(z\) to eliminate the fraction:
\[ 90 = 16z \]
- Now, divide both sides by 16 to solve for \(z\):
\[ z = \frac{90}{16} \]
- Simplifying the fraction:
\[ z = \frac{45}{8} \]
So, the solution is:
\[ z = 5.625 \]