James and luke took a two-day hike along the Appalachian trial. the first day they hiked 4 1/6 and the second day they hiked 3 2/3. what total distance did the boys hike?

Answer 1

To find the total distance the boys hiked, we need to add the distances they hiked on each day.

First, let's convert the mixed numbers to improper fractions.
4 1/6 = (4 * 6 + 1) / 6 = 25/6
3 2/3 = (3 * 3 + 2) / 3 = 11/3

Next, add the two fractions:
25/6 + 11/3

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 6 and 3 is 6. Therefore, we multiply the numerators and denominators by the appropriate factors to obtain common denominators:

25/6 + 22/6

Combine the numerators:

(25 + 22) / 6 = 47/6

Now, we can express the improper fraction as a mixed number:
47/6 = 7 5/6

Therefore, the boys hiked a total distance of 7 5/6 on their two-day hike.