Final answer:
The expression (2b)/(3x)*(12x)/(6bx) simplifies to 4/(3x) after cancelling out common factors and reducing the fraction.
Step-by-step explanation:
To simplify the expression (2b)/(3x)*(12x)/(6bx), first we can multiply the numerators and the denominators separately to obtain:
(2b * 12x) / (3x * 6bx) = (24bx) / (18bx^2).
Next, we can cancel out common factors in the numerator and the denominator. Since 'b' appears in both and 'x' appears in both, we can simplify further:
(24/18)(b/b)(x/x^2) = (4/3)(1)(1/x) = 4/(3x).
The simplified form of the given expression is 4/(3x).