To solve for x in the equation (1/2)/x = 5/6, you can follow these steps:
1. First, multiply both sides of the equation by x to eliminate the fraction on the left side:
(1/2)/x * x = (5/6) * x
This simplifies to:
1/2 = (5/6) * x
2. Now, to isolate x, you can multiply both sides of the equation by the reciprocal of (5/6), which is (6/5):
(1/2) * (6/5) = (5/6) * x * (6/5)
Simplify both sides:
(3/5) = x
So, x = 3/5.