Question

Please help worth 10 points

Answer 1

Options A, B, and E are equivalent to $\frac{p}{3} .$

Step-by-step explanation:

Step 1:

We must determine the values of all the expressions to determine which is equal to $\frac{p}{3} .$

A. $p - \frac{2}{3} p = \frac{3p-2p}{3} = \frac{1p}{3} = \frac{p}{3}.$ So option A is equivalent to $\frac{p}{3} .$

B. $\frac{1}{3} p$ can also be written as $\frac{p}{3} .$ So option B is also equivalent to $\frac{p}{3} .$

Step 2:

C. $p -3$ cannot be simplified. So option C does not equal $\frac{p}{3} .$

D. 3÷p $= \frac{3}{p} .$ This is the inverse of $\frac{p}{3}$ so option D does not equal $\frac{p}{3} .$

E. $\frac{3p}{9} = \frac{1p}{3} = \frac{p}{3} .$ So option E equals $\frac{p}{3} .$

F. $\frac{1}{3} p + \frac{1}{3} p+\frac{1}{3} p = \frac{3}{3} p = p.$ So option F does not equal $\frac{p}{3} .$

So options A, B, and E are equivalent to $\frac{p}{3} .$