Answer:
Option 1.
Step-by-step explanation:
The given expression is
[tex]\frac{3x-2}{9}[/tex]
We need to find the an expression which is equivalent to the given expression.
If a,b and c are three real numbers and c≠0, then according to distributive property of division
[tex]\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}[/tex]
Using the distributive property of division, the given expression can be rewritten as
[tex]\frac{3x}{9}-\frac{2}{9}[/tex]
Cancel out the common factors.
[tex]\frac{1}{3}x-\frac{2}{9}[/tex]
The expression [tex]\frac{1}{3}x-\frac{2}{9}[/tex] is equivalent to the given expression.
Therefore, the correct option is 1.
