Answer:
23/24
Step-by-step explanation:
To find the sum you must ad.
Fractions can only be added and subtracted when the denominators (the bottom numbers) are the same.
24 is the smallest number that 2, 3 and 8 go into.
1/2 = 12/24, 1/3 = 8/24, 1/8 = 3/24

23/24
((3e^9b-4b-9)-(3e^9a-4a-9))/(2)
Well, you only listed three pieces so far. But I can already see a
pattern emerging from those three.
Of course, the next piece might return to 1-1/2 inches. I mean,
the pattern can't just keep on going and increasing forever or
Cody would eventually wind up with pieces that are a mile long.
It must eventually return to 1-1/2 inches and start over from there.
From the first piece to the second one, and from the second one
to the third one, the increase is 5/16 inch both times. So if the
pattern is more than three pieces long before it starts over from
1-1/2, then the next piece is
(2-1/8 + 5/16) = (2-2/16 + 5/16) = 2-7/16 inches .