Aaron has 14 2/5 feet of rope

Question

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

Answer 1

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.