Question

In the morning,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 that Mary walked, we need to add the two distances together.

First, we will convert the mixed numbers to improper fractions for easier addition.

1. The morning distance is \(2 \frac{1}{4}\) miles:
- Convert to an improper fraction:
\[
2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4}
\]

2. The afternoon distance is \(5 \frac{7}{8}\) miles:
- Convert to an improper fraction:
\[
5 \frac{7}{8} = \frac{5 \times 8 + 7}{8} = \frac{40 + 7}{8} = \frac{47}{8}
\]

Now we can add these two improper fractions. Before adding, we need a common denominator. The denominators are 4 and 8. The least common multiple of 4 and 8 is 8.

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

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

Finally, we can convert \(\frac{65}{8}\) back to a mixed number:
- Divide 65 by 8. The quotient is 8 and the remainder is 1, so:
\[
\frac{65}{8} = 8 \frac{1}{8}
\]

Thus, the total distance that Mary walked is:
\[
\boxed{8 \frac{1}{8}} \text{ miles.}
\]