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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?

Verified Answer :

1 2/5 x 5

=7

7+1 2/5

=8 2/5 miles total

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.