Question

Which sum or difference is equivalent to the following expression 3x-2/9 ?

•1/3x - 2/9
•2/9x - 1/3
•1/9x
•2/9

Answer 1

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

Answer 2

Option 1.

Explanation:

The given expression is

`(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

`(a+b)/(c)=(a)/(c)+(b)/(c)`

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

`(3x)/(9)-(2)/(9)`

Cancel out the common factors.

`(1)/(3)x-(2)/(9)`

The expression
`(1)/(3)x-(2)/(9)` is equivalent to the given expression.

Therefore, the correct option is 1.