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Lang walks 2/3 of a mile each day she wants to know how many days she has to walk in order to have walked a whole number of miles show your work

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Solution:

Given that Lang walks


(2)/(3)

of a mile each day, this implies that


1\text{ day }\Rightarrow\text{ }(2)/(3)\text{ mile}

Thus, in order to evaluate how many days she has to walk a whole number of miles, we multiply through by 3.

Thus,


\begin{gathered} 3(1\text{ day) }\Rightarrow3(\text{ }(2)/(3)\text{ mile)} \\ \text{thus, we have} \\ 3\text{ days }\Rightarrow\text{ 2 miles} \end{gathered}

This implies that in order to walk a whole number of miles, she has to walk 3 days.

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