1. The problem states that Logon has read 180 pages, which is 75% of the total pages $t$ in the e-book. 2. The equation given is $$\frac{180}{t} = \frac{75}{100}$$ which relates the pages read to the percentage completed. 3. To simplify the fraction on the right side, divide numerator and denominator by 25: $$\frac{75}{100} = \frac{\cancel{75}^3}{\cancel{100}^4} = \frac{3}{4}$$ 4. So the simplified equation is: $$\frac{180}{t} = \frac{3}{4}$$ 5. This equation shows how to find $t$, the total number of pages in the e-book, by relating the pages read to the simplified fraction of completion. Final answer: $$\frac{180}{t} = \frac{3}{4}$$