To solve the equation b/2 + 2(1/3) = 5, we need to follow a step-by-step process. Let's break it down:

Step 1: Simplify the expression on the right side of the equation.
- 2(1/3) can be simplified as 2/3, since multiplying a whole number by a fraction is the same as multiplying the whole number with the numerator and keeping the denominator the same.
- So, the equation becomes b/2 + 2/3 = 5.

Step 2: Get rid of the fractions by finding a common denominator.
- The common denominator for 2 and 3 is 6.
- Multiply both sides of the equation by 6 to eliminate the fractions.
- The equation becomes 6(b/2) + 6(2/3) = 6(5).
- Simplifying further, we get 3b + 4 = 30.

Step 3: Solve for b.
- To isolate the variable b, we need to get rid of the constant term on the left side of the equation.
- Subtract 4 from both sides: 3b + 4 - 4 = 30 - 4.
- Simplifying, we have 3b = 26.

Step 4: Divide both sides by the coefficient of b to solve for b.
- Divide both sides of the equation by 3: (3b)/3 = 26/3.
- Simplifying, we obtain b = 26/3.

Therefore, the solution to the equation b/2 + 2(1/3) = 5 is b = 26/3.