Answer:
The options A),B) and E) are correct
A) The given expression [tex]p-\frac{2}{3}p[/tex] is equivalent to [tex]\frac{p}{3}[/tex]
B) The given expression [tex]\frac{p}{3}[/tex] is equivalent to [tex]\frac{p}{3}[/tex]
E) The given expression [tex]\frac{3p}{9}[/tex] is equivalent to [tex]\frac{p}{3}[/tex]
Step-by-step explanation:
Given expression is [tex]\frac{p}{3}[/tex]
To find the equivalent expressions to the given expression :
A) [tex]p-\frac{2}{3}p[/tex]
Solving the expression [tex]p-\frac{2}{3}p[/tex]
[tex]p-\frac{2}{3}p=\frac{p(3)-2p}{3}[/tex]
[tex]=\frac{3p-2p}{3}[/tex]
[tex]=\frac{p}{3}[/tex]
∴ [tex]p-\frac{2}{3}p=\frac{p}{3}[/tex]
∴ The given expression [tex]p-\frac{2}{3}p[/tex] is equivalent to [tex]\frac{p}{3}[/tex]
B) [tex]\frac{p}{3}[/tex]
∴ The given expression [tex]\frac{p}{3}[/tex] is equivalent to [tex]\frac{p}{3}[/tex]
E) [tex]\frac{3p}{9}[/tex]
Solving it we get
∴ [tex]\frac{3p}{9}=\frac{p}{3}[/tex]
∴ The given expression [tex]\frac{3p}{9}[/tex] is equivalent to [tex]\frac{p}{3}[/tex]
∴ options A),B) and E) are correct
