Is 1/3 equivalent to 1/3x explain your reasoning

So the question is does 1/3 = 1/3x

To solve this, basically we just have to solve for x to see if it gives us a true statement.  Since x is a variable, it could represent any number... so we have to determine whether the statement could be true with any other numbers as well...

1/3 = 1/3x    divide each side by 1/3 (multiply by the reciprocal)
1/3 x 3/1 = x
1 = x

So when x = 1 then the statement 1/3 = 1/3x is true.  If we put any other number as x the statement would be false... for example if you let x = 2, then 1/3 x 2/1 = 2/3... that does not equal 1/3 so it is a false statement and they are not equivalent when x = 2.

Your answer is, YES 1/3 is equivalent to 1/3x but ONLY when x = 1