Final answer:
To find the total amount of wire used for the part, add the lengths of the three pieces of wire. The total amount is 77/170 cm.
Step-by-step explanation:
To find the total amount of wire used for the part, we need to add the lengths of the three pieces of wire. The lengths given are 2/17 cm, 5/17 cm, and 8/17 cm. To add fractions, we need a common denominator. The least common multiple of 17 and the denominators 2, 5, and 8 is 40. So, we can rewrite the lengths as 2/17 = 20/170, 5/17 = 25/170, and 8/17 = 32/170 cm. Now, we can add the fractions: 20/170 + 25/170 + 32/170 = 77/170 cm. Therefore, the total amount of wire used for the part is 77/170 cm.