Final answer:
To determine the number of bracelets Sam can make from a length of wire measuring 5 1/3 inches, divide the length of wire by the length required for each bracelet. Sam can make 0 whole bracelets with a remaining length of 1/21 of an inch.
Step-by-step explanation:
To determine the number of bracelets Sam can make from a length of wire measuring 5 1/3 inches, we need to divide this length by the length of wire required for each bracelet, which is 7 inches. First, we need to convert 5 1/3 inches to a mixed number. 5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3 inches. Now, we can divide 16/3 inches by 7 inches:
16/3 ÷ 7 = (16 ÷ 3) ÷ 7 = 5 1/3 ÷ 7 = 5 ÷ 7 + 1/3 ÷ 7 = 0 + 1/3 ÷ 7 = 1/3 ÷ 7 = 1/21
Therefore, Sam can make 0 whole bracelets with a remaining length of 1/21 of an inch, which is not enough to make another full bracelet.