Question
6. Wyatt is hiking a trail that is \( \frac{11}{12} \) mile long. After hiking \( \frac{1}{4} \) mile, he stops for water. How much farther must he hike to finish the trail?
Ask by West Collins. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Wyatt must hike an additional \( \frac{2}{3} \) mile to finish the trail.
Solution
Wyatt has hiked 1/4 mile on a trail that is 11/12 mile long. To find how much farther he must hike, subtract the distance he’s already covered from the total distance.
Step 1: Convert 1/4 mile to a fraction with denominator 12.
1/4 = 3/12
Step 2: Subtract:
11/12 - 3/12 = 8/12
Step 3: Simplify 8/12:
Both 8 and 12 are divisible by 4.
8 ÷ 4 = 2 and 12 ÷ 4 = 3, so 8/12 simplifies to 2/3.
Thus, Wyatt must hike an additional 2/3 mile to finish the trail.
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Simplify this solution The Deep Dive
To find out how much farther Wyatt must hike, we need to subtract the distance he has already traveled from the total length of the trail. The trail is \( \frac{11}{12} \) mile long, and Wyatt has hiked \( \frac{1}{4} \) mile so far. First, convert \( \frac{1}{4} \) mile to have a common denominator with \( \frac{11}{12} \): \[ \frac{1}{4} = \frac{3}{12} \] Now, subtract the distance he has hiked from the total length of the trail: \[ \frac{11}{12} - \frac{3}{12} = \frac{8}{12} \] To simplify \( \frac{8}{12} \): \[ \frac{8}{12} = \frac{2}{3} \] Therefore, Wyatt must hike \( \frac{2}{3} \) mile farther to finish the trail.
