Equation: $\displaystyle 3t= \frac{5}{4}$

Step 1: $\displaystyle t=\frac{1}{3}*\frac{5}{4}$

My question concerns this step. To isolate the variable "t" you divide by 3. It seems that should read $\displaystyle t=\frac{5}{4} \div \frac{1}{3}$ however that leads to an incorrect answer. The correct way to do this apparently is $\displaystyle t=\frac{1}{3}*\frac{5}{4}$. Why do you multiply by 1/3? When you isolate "t" you divide by 3.

Thanks for the clarification.