Verified Answer :

None of these options are equivalent. However, 3/1x-2/9 would be.

Answer:

Option 1.

Step-by-step explanation:

The given expression is

\(\frac{3x-2}{9}\)

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

\(\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}\)

Using the distributive property of division, the given expression can be rewritten as

\(\frac{3x}{9}-\frac{2}{9}\)

Cancel out the common factors.

\(\frac{1}{3}x-\frac{2}{9}\)

The expression \(\frac{1}{3}x-\frac{2}{9}\) is equivalent to the given expression.

Therefore, the correct option is 1.