Solve the following problem Asia walks 2 1/4 miles to the park and then another 1 6/8 miles to our friend house how many miles did she walk in all

1 answer

To find out how many miles Asia walked in total, we need to add the two distances she walked:

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

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

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

  2. For \( 1 \frac{6}{8} \): \[ 1 \frac{6}{8} = \frac{1 \times 8 + 6}{8} = \frac{8 + 6}{8} = \frac{14}{8} \] We can simplify \( \frac{14}{8} \) to \( \frac{7}{4} \) (by dividing both the numerator and the denominator by 2).

Now we can add \( \frac{9}{4} \) and \( \frac{7}{4} \): \[ \frac{9}{4} + \frac{7}{4} = \frac{9 + 7}{4} = \frac{16}{4} = 4 \]

Thus, in total, Asia walked 4 miles.