Last Saturday, Flavia walked her dog 1 2/5 miles. Shazell walked her dog 5 times as far. How many miles total did both girls walk their dogs?
Answer:
\(8\frac{2}{5}\) miles
Step-by-step explanation:
We have been given that Flavia walked her dog \(1\frac{2}{5}\) miles. Shazell walked her dog 5 times as far.
The total distance walked by both dogs would be \(1\frac{2}{5}\) miles plus 5 times \(1\frac{2}{5}\) miles as:
\(\text{Total distance walked by both dogs}=1\frac{2}{5}+5\times 1\frac{2}{5}\)
Convert mixed fractions into improper fractions:
\(1\frac{2}{5}\Rightarrow \frac{1*5+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)
\(\text{Total distance walked by both dogs}=\frac{7}{5}+5\times \frac{7}{5}\)
\(\text{Total distance walked by both dogs}=\frac{7}{5}+\frac{35}{5}\)
\(\text{Total distance walked by both dogs}=\frac{7+35}{5}\)
\(\text{Total distance walked by both dogs}=\frac{42}{5}\)
\(\text{Total distance walked by both dogs}=8\frac{2}{5}\)
Therefore, both girls walked \(8\frac{2}{5}\) miles their dogs.