Solve the following problem: Asia walks 2 and 1/4

Question

miles to the park and then another 1 and 6/8
miles to her friend’s house. How many miles does she walk in all?(1 point)

Answer 1

To find the total distance that Asia walks, we need to add the two distances together:

1. The first distance is \( 2 \frac{1}{4} \) miles.
2. The second distance is \( 1 \frac{6}{8} \) miles.

First, let's convert both mixed numbers to improper fractions:

1. For \( 2 \frac{1}{4} \):

   • Multiply the whole number (2) by the denominator (4): \( 2 \times 4 = 8 \)
   • Add the numerator (1): \( 8 + 1 = 9 \)
   • Therefore, \( 2 \frac{1}{4} = \frac{9}{4} \).

2. For \( 1 \frac{6}{8} \):

   • Convert \( 6/8 \) to a simpler form: \( 6/8 = 3/4 \).
   • Now convert \( 1 \frac{3}{4} \):
   • Multiply the whole number (1) by the denominator (4): \( 1 \times 4 = 4 \)
   • Add the numerator (3): \( 4 + 3 = 7 \)
   • Therefore, \( 1 \frac{6}{8} = 1 \frac{3}{4} = \frac{7}{4} \).

Now we can add the two improper fractions:

\[ \frac{9}{4} + \frac{7}{4} = \frac{9 + 7}{4} = \frac{16}{4} = 4 \]

Thus, Asia walks a total of 4 miles.

Answer 2

are you sure

Answer 3

Let's double-check the calculations step by step to ensure accuracy.

1. Convert mixed numbers to improper fractions:

   • For \( 2 \frac{1}{4} \): \[ 2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \]

   • For \( 1 \frac{6}{8} \):

     • Simplifying \( \frac{6}{8} \) gives us \( \frac{3}{4} \) (since both 6 and 8 can be divided by 2).
     • Now combine it with the whole number: \[ 1 \frac{6}{8} = 1 \frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4} \]

2. Add the two improper fractions: \[ \frac{9}{4} + \frac{7}{4} = \frac{9 + 7}{4} = \frac{16}{4} = 4 \]

So, Asia indeed walks a total of 4 miles.

Thank you for prompting me to verify; the calculations confirm that the answer is correct!