Bryan has 5 2/3 of leather cord to use to make friendship bracelets. He needs 1/2 foot of cord for each one. How many whole bracelets can Bryan make?

First convert the leather cord Bryan has to an improper fraction: 5 2/3 = 3*5 + 2 = <<5*3+2=17>>17/3

Then multiply that number by 3 to find the total number of 1/2 foot lengths Bryan has: 17/3 * 3 = <<17*3=51>>51/2
Then divide that amount by 1/2 to find the total number of bracelets: (51/2) / (1/2) = (51/2) * (2/1) = 51. Answer: \boxed{51}.