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Answer :
To find out how many yards of the sidewalk Zeke has left to shovel after breakfast, we need to follow these steps:
1. Determine the total length of the sidewalk:
The sidewalk is [tex]\(20 \frac{1}{2}\)[/tex] yards long. We can convert this mixed number to an improper fraction or a decimal for easier calculations. In decimal form, this is 20.5 yards.
2. Calculate the portion shoveled before breakfast:
Zeke shovels [tex]\(\frac{1}{4}\)[/tex] of the sidewalk before breakfast. To find out how much he shoveled, multiply the total length of the sidewalk by the fraction he shoveled:
[tex]\[
\text{Shoveled length} = 20.5 \times \frac{1}{4} = 5.125 \text{ yards}
\][/tex]
3. Find out how many yards are left to shovel:
Subtract the length shoveled from the total length to find out how much is left:
[tex]\[
\text{Remaining length} = 20.5 - 5.125 = 15.375 \text{ yards}
\][/tex]
So, Zeke has 15.375 yards left to shovel after breakfast. This is the length of the sidewalk that still needs to be cleared.
1. Determine the total length of the sidewalk:
The sidewalk is [tex]\(20 \frac{1}{2}\)[/tex] yards long. We can convert this mixed number to an improper fraction or a decimal for easier calculations. In decimal form, this is 20.5 yards.
2. Calculate the portion shoveled before breakfast:
Zeke shovels [tex]\(\frac{1}{4}\)[/tex] of the sidewalk before breakfast. To find out how much he shoveled, multiply the total length of the sidewalk by the fraction he shoveled:
[tex]\[
\text{Shoveled length} = 20.5 \times \frac{1}{4} = 5.125 \text{ yards}
\][/tex]
3. Find out how many yards are left to shovel:
Subtract the length shoveled from the total length to find out how much is left:
[tex]\[
\text{Remaining length} = 20.5 - 5.125 = 15.375 \text{ yards}
\][/tex]
So, Zeke has 15.375 yards left to shovel after breakfast. This is the length of the sidewalk that still needs to be cleared.
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