Aaron has 14 2/5 feet of rope.%0D%0A%0D%0AHe cuts it equally into 2 pieces.%0D%0AHe then cuts 1 of these pieces into 2/5-foot sections.%0D%0AHow many sections, that are 2/5 foot long, does Aaron have?
To find out how many sections Aaron has, we first need to determine the total length of the rope.
Aaron has 14 2/5 feet of rope. To convert this mixed number into an improper fraction, we multiply the whole number part (14) by the denominator of the fraction (5) and add the numerator (2), then place it over the denominator.
14 * 5 + 2 = 70 + 2 = 72
So Aaron has a total of 72/5 feet of rope.
He cuts the rope equally into 2 pieces. Each piece would have a length of (72/5) / 2 = 36/5 feet.
He then cuts one of these pieces into 2/5-foot sections. To find out how many sections he can make, 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.