James and Luke took a three-day hike along the Appalachian Trail. The first day they hiked 4 1/6 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. The link below is a screen shot of the button you want to select.

Answer 1

To find the total distance, we need to add the distances they hiked each day:

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

To add mixed numbers, we need to convert them into improper fractions:

4 1/6 = 24/6 + 1/6 = 25/6

3 2/3 = 11/3

4 2/3 = 14/3

Now, we can add the fractions:

25/6 + 11/3 + 14/3

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 6:

25/6 + (11/3 * 2/2) + (14/3 * 2/2)

25/6 + 22/6 + 28/6

Now, we can add the fractions:

25/6 + 22/6 + 28/6 = 75/6

Simplifying the fraction, we get:

75/6 = 12 3/6 = 12 1/2

Therefore, the boys hiked a total distance of 12 1/2 miles.