If a/3 = b/2 then (2a + 3b – 2a – 3b)/2b:

Given (a/3 = b/2), so (a = 3b/2). The expression is ((2a + 3b - 2a - 3b)/2b = 0/2b = 0). The numerator cancels out, yielding zero. Studying this highlights algebraic simplification, the challenges of ratio-based equations, and its application in problem-solving. It also offers insights into how ratios simplify expressions, providing lessons on precise algebraic manipulation for mathematical accuracy.