Respuesta :
Answer:
[tex]1\frac{2}{5}miles[/tex]Explanations:
Given the following parameters from the question:
Distance walked by Nick from home zoo = 1/4 mile
Distance covered around the zoo = 9/10 miles
In order to get the total distance covered by Nick that morning, we will take the sum of the distances including the distance he walked back home as shown:
[tex]\text{Total distance walked=}\frac{1}{4}+\frac{9}{10}+\frac{1}{4}[/tex]Fins the Least common denominator
[tex]\begin{gathered} \text{Total distance walked=}\frac{5(1)+2(9)+5(1)}{20} \\ \text{Total distance walked}=\frac{5+18+5}{20} \\ \text{Total distance walked}=\frac{28}{20}\text{miles} \end{gathered}[/tex]Note that I have to add another 1/4 miles since he will also walk back home at the same distance he walked to the zoo
Expressing the total distance as a mixed fraction
[tex]\begin{gathered} \text{Total distance walked=1}\frac{\cancel{8}2}{\cancel{20}5} \\ \text{Total distance walked}=1\frac{2}{5}miles \end{gathered}[/tex]This shows that Nick walked 1 2/5 miles that morning
