Solve the following problem: Asia walks 2 1/4 miles to the park and then another 1 6/8 miles to her friends house. How many miles does she walk in all?
To find the total distance Asia walks, we need to add the distance to the park and the distance to her friend's house.
Asia walks 2 1/4 miles to the park + 1 6/8 miles to her friend's house.
To add these fractions, we need to find a common denominator. In this case, the common denominator is 8.
2 1/4 = 9/4 (multiplying 4 to 2 and adding 1)
1 6/8 = 14/8 (multiplying 8 to 1 and adding 6)
Now we can add the fractions:
9/4 + 14/8
To add these fractions, we need to make sure they have the same denominator. In this case, the denominator is already the same.
9/4 + 14/8 = 23/4 + 14/8
Now we can add the numerators:
23/4 + 14/8 = 46/8 + 14/8
To add these fractions, we just add the numerators and keep the denominator the same:
46/8 + 14/8 = 60/8
Now we simplify the fraction:
60/8 = 7 4/8
7 4/8 can be simplified to 7 1/2 by dividing both the numerator and denominator by 4:
7 4/8 = 7 1/2
So, Asia walks a total of 7 1/2 miles.
That’s not correct the answers are..
A: 3
B: 4
C: 1/2
D: 3 7/8
Apologies for the incorrect answer in my previous response. Let's solve the problem correctly.
Asia walks 2 1/4 miles to the park and then another 1 6/8 miles to her friend's house.
First, we need to convert the mixed numbers to improper fractions:
2 1/4 = (2 * 4 + 1) / 4 = 9/4
1 6/8 = (1 * 8 + 6) / 8 = 14/8
Now, we can add these fractions:
9/4 + 14/8
To add these fractions, we need to find a common denominator. In this case, the common denominator is 8.
9/4 + 14/8 = (9 * 2) / (4 * 2) + 14/8 = 18/8 + 14/8
Now we can add the numerators:
18/8 + 14/8 = 32/8
To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 8:
32/8 = 4/1
Therefore, the total distance Asia walks is 4 miles. The correct answer is B: 4.