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Cecelia went on a hiking trip. The first day she walked 2727 kilometers. Each day since, she walked 23\frac{2}{3} of what she walked the day before. What is the total distance Cecelia has traveled by the end of the 5th5^{\text{th}} day? Round your final answer to the nearest kilometer.

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Q. Cecelia went on a hiking trip. The first day she walked 2727 kilometers. Each day since, she walked 23\frac{2}{3} of what she walked the day before. What is the total distance Cecelia has traveled by the end of the 5th5^{\text{th}} day? Round your final answer to the nearest kilometer.
  1. Calculate Day 22 Distance: Calculate the distance walked on the second day.\newlineCecelia walked 23 \frac{2}{3} of 2727 km on the second day.\newlineCalculation: 27×23=18 27 \times \frac{2}{3} = 18 km.
  2. Calculate Day 33 Distance: Calculate the distance walked on the third day.\newlineOn the third day, she walked 23 \frac{2}{3} of what she walked on the second day.\newlineCalculation: 18×23=12 18 \times \frac{2}{3} = 12 km.
  3. Calculate Day 44 Distance: Calculate the distance walked on the fourth day.\newlineOn the fourth day, she walked 23 \frac{2}{3} of what she walked on the third day.\newlineCalculation: 12×23=8 12 \times \frac{2}{3} = 8 km.
  4. Calculate Day 55 Distance: Calculate the distance walked on the fifth day.\newlineOn the fifth day, she walked 23 \frac{2}{3} of what she walked on the fourth day.\newlineCalculation: 8×23=5.333 8 \times \frac{2}{3} = 5.333 km, round to 55 km.
  5. Calculate Total Distance: Calculate the total distance walked over the five days.\newlineAdd up all the distances from day one to day five.\newlineCalculation: 27+18+12+8+5=70 27 + 18 + 12 + 8 + 5 = 70 km.

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