Solve the following problem: Asia walks 2 1/4 miles to the park and then another 1 6/8 miles to her friend’s house. How many miles does she walk in all

To find the total distance that Asia walks, we need to add the distance she walks to the park and the distance she walks to her friend's house.

Asia walks 2 1/4 miles to the park.
Asia walks 1 6/8 miles to her friend's house.

We can add these two distances together:

2 1/4 miles + 1 6/8 miles

To add the mixed numbers, we first need to convert the fractions to have the same denominator.

1/4 = 2/8 (multiply numerator and denominator by 2)
6/8 = 6/8 (same denominator)

Now, we can add:

2 2/8 miles + 1 6/8 miles = (2 + 1) + (2/8 + 6/8) miles

The whole numbers add up: 2 + 1 = 3
The fractions add up: 2/8 + 6/8 = 8/8

So, the total distance Asia walks is:

3 + 8/8 miles = 3 + 1 mile

Therefore, Asia walks a total of 4 miles.

Lucy saws a wooden rod into two pieces. The larger piece is 7 3/4 inches long. The original rod was 9 1/8 inches long. How many inches long is the resulting smaller piece?(1 point)

Responses

2

16 7/8

2 5/8

1 3/8