Question

alice roller skates 4 1/4
kilometers on thursday and 4 3/5
kilometers on friday. how many total kilometers does she roller skate

Answer 1

To find the total distance Alice roller skates, we need to add the two distances together:

1. Convert the mixed numbers to improper fractions:

- For \( 4 \frac{1}{4} \):
\[
4 \frac{1}{4} = \frac{4 \times 4 + 1}{4} = \frac{16 + 1}{4} = \frac{17}{4}
\]

- For \( 4 \frac{3}{5} \):
\[
4 \frac{3}{5} = \frac{4 \times 5 + 3}{5} = \frac{20 + 3}{5} = \frac{23}{5}
\]

2. Now add the two fractions:
To add \( \frac{17}{4} \) and \( \frac{23}{5} \), we need a common denominator. The least common multiple of 4 and 5 is 20.

- Convert \( \frac{17}{4} \) to a denominator of 20:
\[
\frac{17}{4} = \frac{17 \times 5}{4 \times 5} = \frac{85}{20}
\]

- Convert \( \frac{23}{5} \) to a denominator of 20:
\[
\frac{23}{5} = \frac{23 \times 4}{5 \times 4} = \frac{92}{20}
\]

3. Now, add the two fractions:
\[
\frac{85}{20} + \frac{92}{20} = \frac{85 + 92}{20} = \frac{177}{20}
\]

4. If you'd like to convert this back to a mixed number:
\[
\frac{177}{20} = 8 \frac{17}{20}
\]

So, the total distance Alice roller skates is:
\[
\frac{177}{20} \text{ kilometers or } 8 \frac{17}{20} \text{ kilometers.}
\]