Aaron has 14 2/5 feet of rope
He cuts it equally into 2 pieces
He then cuts 1 of these pieces into 2/5 foot sections
How many sections that are 2/5 foot long, does Aaron have?
6 4/5
7
7 1/5
18
To solve this problem, we need to find the total number of 2/5 foot sections that Aaron has.
The first step is to convert the given length of the rope from mixed number form to improper fraction form:
14 2/5 = (14 * 5 + 2) / 5 = 72/5
Next, we need to find the length of each of the two pieces when the rope is cut equally. We divide the total length by 2:
(72/5) / 2 = 72/5 * 1/2 = 72/10 = 36/5
Now, we need to find the number of 2/5 foot sections that can be cut from one of these pieces. We divide the length of the piece by the length of each section:
(36/5) / (2/5) = (36/5) * (5/2) = 36/2 = 18
Therefore, Aaron has 18 sections that are 2/5 foot long. Answer: 18.