Justin rode his bicycle to a park located 4 2/3 miles from his house.he returned along the same route. After riding 9 1/8 miles total, how many more miles does justin need to ride to reach his home?
the total round-trip distance is 2 * 4 2/3 = 9 1/3
so, ...
To find out how many more miles Justin needs to ride to reach his home, we need to subtract the distance he has already ridden from his home from the total distance he rode.
Justin rode 4 2/3 miles to the park, and since he returned along the same route, he also rode 4 2/3 miles back home. Therefore, he rode a total of 4 2/3 + 4 2/3 = 9 1/3 miles.
Given that Justin rode a total of 9 1/8 miles, we can subtract this distance from the total distance of 9 1/3 miles to find out how many more miles he needs to ride.
To subtract fractions, we need to have the same denominator. Since the denominators are different (8 and 3), we need to find a common denominator. The most common denominator for 8 and 3 is 24.
Converting 9 1/3 and 9 1/8 to fractions with a denominator of 24:
9 1/3 = (9 * 3 + 1) / 3 = 28/3
9 1/8 = (9 * 8 + 1) / 8 = 73/8
Now we can subtract the fractions:
28/3 - 73/8 = (28 * 8 - 73 * 3) / (3 * 8) = (224 - 219) / 24 = 5/24
Therefore, Justin needs to ride an additional 5/24 miles to reach his home.