Elijah and Roan took a three-day hike along the Appalachian Trail. The first day they hiked 3 ⅙ miles, the second day they hiked 4 ⅔ miles and the third day they hiked 5 ⅔ miles. What total distance did the boys hike? (ANSWER in FRACTION FORM)
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1 point
To find the total distance, we need to add the distances hiked each day.
First day: 3 1/6 miles
Second day: 4 2/3 miles
Third day: 5 2/3 miles
To add the fractions, first find a common denominator. The lowest common multiple of 6 and 3 is 6.
So, we have:
3 1/6 = (3*6 + 1)/6 = 19/6
4 2/3 = (4*6 + 2)/6 = 26/6
5 2/3 = (5*6 + 2)/6 = 32/6
Now, add the fractions:
19/6 + 26/6 + 32/6 = (19 + 26 + 32)/6 = 77/6
Therefore, the boys hiked a total distance of 77/6 miles.