Final answer:
To solve the equation 2/3t = 5/2, multiply both sides of the equation by the reciprocal of 2/3, which is 3/2. The solution is t = 15/6 or t = 2.5.
Step-by-step explanation:
In order to solve the equation 2/3t = 5/2, we need to isolate the variable t. To do this, we need to multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3t) * (3/2) = (5/2) * (3/2)
This simplifies to:
t = 15/6
So, the solution to the equation is t = 15/6 or t = 2.5.