Answer:
[tex] \frac{1}{3} (\frac{1}{p} - 2)[/tex]
Step-by-step explanation:
Given the equation = [tex] \frac{1}{3p} - \frac{2}{3}[/tex]
Required: To factor out 1/3;
[tex] \frac{1}{3p} - \frac{2}{3}[/tex]
1/3 is common to both sides;
So, 1/3 is a common factor
[tex] \frac{1}{3} (\frac{1}{p} - 2)[/tex]
To solve for the value of p;
[tex] \frac{1}{3} (\frac{1}{p} - 2)[/tex] = 0
[tex] \frac{1}{p} - 2 = 0[/tex]
[tex] \frac{1}{p} = 2[/tex]
[tex] 1 = 2p[/tex]
[tex] p = \frac{1}{2}[/tex]