Question

IN THE MONRING, Mary walked 2 1/4 miles around the park. IN the afternoon, she walked another 5 7/8 miles. How many miles did she walk total?

Answer 1

To find the total distance Mary walked, we need to add the two distances together: \(2 \frac{1}{4}\) miles and \(5 \frac{7}{8}\) miles.

First, let's convert each mixed number to an improper fraction:

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

2. \(5 \frac{7}{8}\):
\[
5 \frac{7}{8} = \frac{5 \times 8 + 7}{8} = \frac{40 + 7}{8} = \frac{47}{8}
\]

Now we need to add \(\frac{9}{4}\) and \(\frac{47}{8}\). To do this, we need a common denominator. The least common denominator (LCD) of 4 and 8 is 8.

Next, we convert \(\frac{9}{4}\) to an equivalent fraction with a denominator of 8:
\[
\frac{9}{4} = \frac{9 \times 2}{4 \times 2} = \frac{18}{8}
\]

Now we can add the two fractions:
\[
\frac{18}{8} + \frac{47}{8} = \frac{18 + 47}{8} = \frac{65}{8}
\]

Next, we can convert \(\frac{65}{8}\) back to a mixed number:
\[
65 \div 8 = 8 \quad \text{(with a remainder of 1)}
\]

Thus, \(\frac{65}{8} = 8 \frac{1}{8}\).

Therefore, the total distance Mary walked is \(8 \frac{1}{8}\) miles.