To solve the equation for p:
[tex]\frac{\frac{7}{9}}{p}=\frac{1}{7}[/tex]We can proceed as follows:
1. Multiply in cross the elements of the proportion (we can use this property of proportions.):
[tex]\frac{7}{9}\cdot7=p\cdot1\Rightarrow\frac{7\cdot7}{9}=p\Rightarrow p=\frac{49}{9}[/tex]Therefore, the value for p is equal to 49/9.