James and Luke took a three-day hike along the Appalachian Trail. The first day they hiked 4 1/6

Question

miles, the second day they hiked 3 2/3
miles, and the third day they hiked 4 2/3
miles. What total distance did the boys hike? You must type your response as a simplified mixed number.



To type your fraction, click the box below. Type the whole number first. Then, select the fraction button where you see an x to the left of a fraction bar. Use your mouse or the up and down arrows on your keyboard to move between the numerator and denominator.

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(1 point)
miles

Answer 1

To find the total distance, we need to add the distances from each day.

4 1/6 + 3 2/3 + 4 2/3

To add these mixed numbers, we need to convert them to improper fractions.

4 1/6 = (6 * 4 + 1) / 6 = 25/6
3 2/3 = (3 * 3 + 2) / 3 = 11/3
4 2/3 = (3 * 4 + 2) / 3 = 14/3

Now we can add the fractions:

25/6 + 11/3 + 14/3

To add these fractions, we need a common denominator, which is 6.

25/6 + 11/3 + 14/3 = 25/6 + 22/6 + 14/3

Now we can add the numerators together:

25 + 22 + 14 = 61

Our answer is the numerator 61 over the denominator 6, and this fraction can be simplified.

61/6 = 10 1/6

Therefore, the total distance they hiked is 10 1/6 miles.