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.
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.
To find the total distance James and Luke hiked, we need to add the distances they hiked on each day.
First, let's add the distances hiked on the first and second days:
4 1/6 + 3 2/3 = (4 + 3) + (1/6 + 2/3) = 7 + (1/6 + 4/6) = 7 + 5/6
Now, let's add the distance hiked on the third day to the previous sum:
7 + 5/6 + 4 2/3 = (7 + 4) + (5/6 + 2/3) = 11 + (5/6 + 4/6) = 11 + 9/6
Now let's simplify the mixed number:
11 + 9/6 = 11 + (9 ÷ 6) = 11 + 1 3/6 = 11 1/2
Therefore, the boys hiked a total distance of 11 1/2 miles.
To find the total distance that James and Luke hiked, we need to add up the distances hiked on each day.
First day: 4 1/6 miles
Second day: 3 2/3 miles
Third day: 4 2/3 miles
Let's add them up step by step.
4 1/6 + 3 2/3 + 4 2/3
To add mixed numbers, we need to convert them to improper fractions. To do this, we multiply the whole number by the denominator, and then add the numerator.
4 1/6 = (4 × 6 + 1)/6 = 25/6
3 2/3 = (3 × 3 + 2)/3 = 11/3
4 2/3 = (4 × 3 + 2)/3 = 14/3
Now, we can add the fractions together:
25/6 + 11/3 + 14/3
To add fractions with the same denominator, we simply add the numerators together while keeping the denominator the same.
(25 + 11 + 14)/6 = 50/6
Now, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
50/6 = (25 × 2)/(3 × 2) = 25/3
Therefore, the total distance that James and Luke hiked along the Appalachian Trail is 25/3, or 8 1/3 miles.