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Logan walks to and from school four days a week (Monday to Thursday). On Fridays, he walks to school, but his mom picks him up after school. He lives a quarter km away from the school. Use a mixed number and an improper fraction to show how far Logan walks each week.

3535) Logan walks to and from school four days a week (Monday to Thursday). On Fridays, he walks to school, but his mom picks him up after school. He lives a quarter km away from the school. Use a mixed number and an improper fraction to show how far Logan walks each week.

Full solution

Q. 3535) Logan walks to and from school four days a week (Monday to Thursday). On Fridays, he walks to school, but his mom picks him up after school. He lives a quarter km away from the school. Use a mixed number and an improper fraction to show how far Logan walks each week.
  1. Question Prompt: Question_prompt: How far does Logan walk each week?
  2. Calculate Round Trip Distance: Logan walks to and from school, which is a quarter km each way, so he walks 12\frac{1}{2} km round trip.
  3. Calculate Weekly Distance: He does this four days a week, so 44 days times half a km is 22 km.
  4. Calculate Total Distance on Friday: On Friday, he only walks to school, which is a 14\frac{1}{4} km.
  5. Combine Weekly Distances: Add the 2km2\,\text{km} from Monday to Thursday to the quarter km from Friday, 2km+14km2\,\text{km} + \frac{1}{4}\,\text{km} equals 22 and a quarter km or 214km2\frac{1}{4}\,\text{km}.
  6. Convert to Improper Fraction: To express 214km2\frac{1}{4}\,\text{km} as an improper fraction, multiply the whole number 22 by the denominator 44 and add the numerator 11, which gives us 8+18 + 1 equals 99.
  7. Final Answer: So, 2142\frac{1}{4} km is the same as 94\frac{9}{4} km.

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