Bryan has 5 2/3 feet of leather cord to use to make friendship bracelets. He needs I
1/2 foot of cord for each
one. How many whole bracelets can Bryan make?
To find the number of whole bracelets Bryan can make, we need to divide the total length of leather cord (5 2/3 feet) by the length needed for each bracelet (1/2 foot).
First, let's convert 5 2/3 feet to a fraction.
5 is already a whole number, so we can rewrite 2/3 as an improper fraction: (2/3) = (2*3 + 2)/3 = 8/3
So, 5 2/3 feet is equal to 5 + 8/3 = 15/3 + 8/3 = 23/3 feet.
Now, let's divide 23/3 by 1/2 to find the number of whole bracelets Bryan can make:
(23/3) / (1/2) = (23/3) * (2/1) = (23*2) / (3*1) = 46/3
We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 2.
46/3 = (46/2) / (3/2) = 23/3
So, Bryan can make 23/3 = 7 2/3 whole bracelets.