Final answer:
To find the solution, divide 1/3 by 2 to get 1/6. Multiply 3 and 3/2 to get 9/2. Add 1/6 and 27/6 to get a final answer of 14/3.
Step-by-step explanation:
To find half of 1/3, we divide 1/3 by 2. Since dividing by 2 is the same as multiplying by 1/2, we can rewrite 1/3 as (1/3) * (1/2). Multiplying the numerators gives us 1 and multiplying the denominators gives us 6, so half of 1/3 is 1/6.
The product of 3 and 3/2 can be found by multiplying the numerators to get 9 and multiplying the denominators to get 2. So the product of 3 and 3/2 is 9/2.
Now, we need to add half of 1/3 to the product of 3 and 3/2. We can rewrite half of 1/3 as 1/6. To add fractions, we need a common denominator. The common denominator of 6 and 2 is 6. So we rewrite 9/2 as (9/2) * (3/3) to get 27/6. Now we can add 1/6 and 27/6 to get a final answer of 28/6, which can be simplified to 14/3.