We appreciate your visit to After a blizzard Zeke shovels snow from the sidewalk in front of his house The sidewalk is tex 20 frac 1 2 tex yards long. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
First, convert the total length of the sidewalk from a mixed number to an improper fraction. Since
[tex]$$
20 \frac{1}{2} = \frac{20 \times 2 + 1}{2} = \frac{41}{2},
$$[/tex]
the sidewalk is [tex]$\frac{41}{2}$[/tex] yards long.
Next, Zeke shovels [tex]$\frac{1}{4}$[/tex] of the sidewalk before breakfast. The amount shoveled is
[tex]$$
\frac{1}{4} \times \frac{41}{2} = \frac{41}{8} \text{ yards}.
$$[/tex]
To find the remaining yardage after breakfast, subtract the shoveled portion from the total:
[tex]$$
\frac{41}{2} - \frac{41}{8}.
$$[/tex]
To subtract these fractions, convert [tex]$\frac{41}{2}$[/tex] to a fraction with denominator 8:
[tex]$$
\frac{41}{2} = \frac{41 \times 4}{2 \times 4} = \frac{164}{8}.
$$[/tex]
Now, perform the subtraction:
[tex]$$
\frac{164}{8} - \frac{41}{8} = \frac{164 - 41}{8} = \frac{123}{8}.
$$[/tex]
Thus, after breakfast, Zeke has [tex]$\boxed{\frac{123}{8}}$[/tex] yards left to shovel.
[tex]$$
20 \frac{1}{2} = \frac{20 \times 2 + 1}{2} = \frac{41}{2},
$$[/tex]
the sidewalk is [tex]$\frac{41}{2}$[/tex] yards long.
Next, Zeke shovels [tex]$\frac{1}{4}$[/tex] of the sidewalk before breakfast. The amount shoveled is
[tex]$$
\frac{1}{4} \times \frac{41}{2} = \frac{41}{8} \text{ yards}.
$$[/tex]
To find the remaining yardage after breakfast, subtract the shoveled portion from the total:
[tex]$$
\frac{41}{2} - \frac{41}{8}.
$$[/tex]
To subtract these fractions, convert [tex]$\frac{41}{2}$[/tex] to a fraction with denominator 8:
[tex]$$
\frac{41}{2} = \frac{41 \times 4}{2 \times 4} = \frac{164}{8}.
$$[/tex]
Now, perform the subtraction:
[tex]$$
\frac{164}{8} - \frac{41}{8} = \frac{164 - 41}{8} = \frac{123}{8}.
$$[/tex]
Thus, after breakfast, Zeke has [tex]$\boxed{\frac{123}{8}}$[/tex] yards left to shovel.
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