Answer: 98 sections
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Step-by-step explanation:
1/4 = 0.25
1/2 = 0.5
24 & 1/2 = 24.5
The rope is 24.5 ft long and you want sections of length 0.25 ft each.
Let x be the number of sections we can make.
1 section is 0.25 ft long
x of them combine to 0.25x feet long
Set this equal to 24.5 and solve for x
0.25x = 24.5
x = (24.5)/(0.25)
x = 98
There will be 98 sections of equal length (each being 0.25 ft)
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Another way to look at it:
1 foot of rope gets you four sections of 0.25 ft each
24 feet of rope gets you 24*4 = 96 sections.
Another 0.5 ft adds another 0.5*4 = 2 sections to get to a total of 96+2 = 98