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After a blizzard, Zeke shovels snow from the sidewalk in front of his house. The sidewalk is 201220\frac{1}{2} yards long. Before breakfast, Zeke shovels 14\frac{1}{4} of the sidewalk. How many yards are left for Zeke to shovel after breakfast?\newlineWrite your answer as a whole number, fractions" target="_blank" class="backlink">fraction, or mixed number. Simplify any fractions. \newline___\_\_\_ yards\newline

Full solution

Q. After a blizzard, Zeke shovels snow from the sidewalk in front of his house. The sidewalk is 201220\frac{1}{2} yards long. Before breakfast, Zeke shovels 14\frac{1}{4} of the sidewalk. How many yards are left for Zeke to shovel after breakfast?\newlineWrite your answer as a whole number, fraction, or mixed number. Simplify any fractions. \newline___\_\_\_ yards\newline
  1. Calculate total length: Calculate the total length Zeke needs to shovel before breakfast. \newline201220 \frac{1}{2} yards = 20.520.5 yards. \newlineHe shovels 14\frac{1}{4} of 20.520.5 yards. \newline14\frac{1}{4} of 20.520.5 = 20.5×1420.5 \times \frac{1}{4} = 5.1255.125 yards.
  2. Subtract shoveled part: Subtract the part Zeke shoveled from the total length to find out how much is left to shovel after breakfast.\newlineTotal length - Shoveled part = 20.520.5 yards - 5.1255.125 yards = 15.37515.375 yards.

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