a whole is just 1, or say 14/14 or 3/3 or 7/7 and so forth, which gives us 1 whole.
we know the sprinkler can do 1/14 of the lawn in 1/2 hr, how long will it be for the whole lawn?
[tex]\bf \begin{array}{ccll}
lawn&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{14}&\frac{1}{2}\\\\
1&x
\end{array}\implies \cfrac{\quad \frac{1}{14}\quad }{1}=\cfrac{\quad \frac{1}{2}\quad }{x}\implies \cfrac{1}{14}=\cfrac{\quad \frac{1}{2}\quad }{\frac{x}{1}}
\\\\\\
\cfrac{1}{14}=\cfrac{1}{2}\cdot \cfrac{1}{x}\implies \cfrac{1}{14}=\cfrac{1}{2x}\implies 2x=14\implies x=\cfrac{14}{2}\implies x=7[/tex]
