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Answer :
To solve the problem of how many yards of sidewalk Zeke has left to shovel after breakfast, follow these steps:
1. Convert the Length of the Sidewalk:
The total length of the sidewalk is [tex]\(20 \frac{1}{2}\)[/tex] yards, which can be converted into an improper fraction for easier calculations:
[tex]\[
20 \frac{1}{2} = 20 + \frac{1}{2} = 20.5 \text{ yards}
\][/tex]
2. Calculate the Portion Shoveled Before Breakfast:
Zeke shovels [tex]\(\frac{1}{4}\)[/tex] of the sidewalk before breakfast. To find out how much that is in yards, multiply the total length by [tex]\(\frac{1}{4}\)[/tex]:
[tex]\[
20.5 \times \frac{1}{4} = 5.125 \text{ yards}
\][/tex]
3. Determine the Remaining Sidewalk:
Subtract the amount shoveled before breakfast from the total length to find out how much is left:
[tex]\[
20.5 - 5.125 = 15.375 \text{ yards}
\][/tex]
So, after breakfast, Zeke has [tex]\(15.375\)[/tex] yards of sidewalk left to shovel.
1. Convert the Length of the Sidewalk:
The total length of the sidewalk is [tex]\(20 \frac{1}{2}\)[/tex] yards, which can be converted into an improper fraction for easier calculations:
[tex]\[
20 \frac{1}{2} = 20 + \frac{1}{2} = 20.5 \text{ yards}
\][/tex]
2. Calculate the Portion Shoveled Before Breakfast:
Zeke shovels [tex]\(\frac{1}{4}\)[/tex] of the sidewalk before breakfast. To find out how much that is in yards, multiply the total length by [tex]\(\frac{1}{4}\)[/tex]:
[tex]\[
20.5 \times \frac{1}{4} = 5.125 \text{ yards}
\][/tex]
3. Determine the Remaining Sidewalk:
Subtract the amount shoveled before breakfast from the total length to find out how much is left:
[tex]\[
20.5 - 5.125 = 15.375 \text{ yards}
\][/tex]
So, after breakfast, Zeke has [tex]\(15.375\)[/tex] yards of sidewalk left to shovel.
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