2/3x=4/5

To solve the equation 2/3x = 4/5, we need to isolate the variable x. Here's how:

Step 1: Multiply both sides of the equation by the reciprocal of 2/3, which is 3/2. This will help us eliminate the fraction on the left side:
(3/2) * (2/3x) = (3/2) * (4/5)

Simplifying the equation, we get:
(1x)/(1) = (12)/(10)

Step 2: Solve the equation by simplifying both sides:
x = 12/10

Step 3: Simplify the fraction:
x = 6/5

So, the solution to the equation 2/3x = 4/5 is x = 6/5.