Question

3:

Answer 1

Answer:

The options A),B) and E) are correct

A) The given expression $p-\frac{2}{3}p$ is equivalent to $\frac{p}{3}$

B) The given expression $\frac{p}{3}$ is equivalent to $\frac{p}{3}$

E) The given expression $\frac{3p}{9}$ is equivalent to $\frac{p}{3}$

Step-by-step explanation:

Given expression is $\frac{p}{3}$

To find the equivalent expressions to the given expression :

A) $p-\frac{2}{3}p$

Solving the expression $p-\frac{2}{3}p$

$p-\frac{2}{3}p=\frac{p(3)-2p}{3}$

$=\frac{3p-2p}{3}$

$=\frac{p}{3}$

∴ $p-\frac{2}{3}p=\frac{p}{3}$

∴ The given expression $p-\frac{2}{3}p$ is equivalent to $\frac{p}{3}$

B) $\frac{p}{3}$

∴ The given expression $\frac{p}{3}$ is equivalent to $\frac{p}{3}$

E) $\frac{3p}{9}$

Solving it we get

∴ $\frac{3p}{9}=\frac{p}{3}$

∴ The given expression $\frac{3p}{9}$ is equivalent to $\frac{p}{3}$

 ∴ options A),B) and E) are correct