Final answer:
The perimeter of a parallelogram with sides (5/6) and (1/3) is calculated using the formula P = 2a + 2b, which results in (7/3) units after simplifying the fractions.
Step-by-step explanation:
The question asks to find the perimeter of a parallelogram with sides (5/6) and (1/3). Since the opposite sides of a parallelogram are equal, to calculate the perimeter, we add the lengths of all four sides together. The formula for the perimeter (P) of a parallelogram with sides of length 'a' and 'b' is P = 2a + 2b. Here, 'a' is (5/6) and 'b' is (1/3), thus P = 2(5/6) + 2(1/3).
First, we calculate the perimeter by adding the lengths: (5/6) + (5/6) + (1/3) + (1/3). To add these fractions, we need a common denominator, which is 6. So, (5/6) + (5/6) = (10/6) and (1/3) is equivalent to (2/6) when converted to have the same denominator. Hence, (2/6) + (2/6) = (4/6). Now we add (10/6) + (4/6) resulting in (14/6) which simplifies to (7/3). So, the perimeter of the parallelogram is (7/3) units.