The product of 3 and a number x is 2/3. This sentence can be reproduced by the expression 3x = 2/3.
Our objective is to find x, a constant which if multiplied by 3 gives 2/3.
First, we need to have x alone on the side of the expression. So we divide it by 3.
we get x = (2/3)/3
When dividing 2 fractions (3 is considered as a fraction since 3=3/1), the answer is equal to the first fraction multiplied by the inverse of the second. So (2/3)/3 = 2/3 * 1/3 (since 1/3 is the inverse of 3)
= 2/9
So x=2/9
You can re-check your answer: 3*(2/9) = 2/3
Hope this Helps! :)