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7 Sage hiked 12(1)/(2) miles one day on her vacation. Her younger brother Chase hiked as far as Sage. How far did Chase hike? Show your work.

77 Sage hiked 1212 12 \frac{1}{2} miles one day on her vacation. Her younger brother Chase hiked as far as Sage. How far did Chase hike? Show your work.

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Full solution

Q. 77 Sage hiked 1212 12 \frac{1}{2} miles one day on her vacation. Her younger brother Chase hiked as far as Sage. How far did Chase hike? Show your work.
  1. Understand the problem: Understand the problem.\newlineSage hiked 121212\frac{1}{2} miles. Since Chase hiked as far as Sage, we need to find out how many miles Chase hiked.
  2. Find Chase's distance: Since Chase hiked the same distance as Sage, we can say that the distance Chase hiked is equal to the distance Sage hiked.\newlineChase's distance = Sage's distance = 12(12)12\left(\frac{1}{2}\right) miles
  3. Convert to improper fraction: Convert the mixed number to an improper fraction to make the calculation easier.\newline1212=(12×2+1)/2=(24+1)/2=25212\frac{1}{2} = (12 \times 2 + 1)/2 = (24 + 1)/2 = \frac{25}{2} miles
  4. Calculate Chase's distance: Since Chase hiked the same distance, we can say that Chase also hiked 252\frac{25}{2} miles.\newlineChase's distance = 252\frac{25}{2} miles

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