Can you get the same sum when you use 12 rather than 6 as a common denominator for the fractions 2\3 and 2\1? explains

Lets see...
The answer is yes! This is because when you solve for a common denominator, you need to multiply the numerator by what you multiplied to get the denominator. I solved the problem for you, which is displayed in the picture below:

You can see that the answer in improper form is 8/3 and in proper form is 2 2/3. If you look at the work, I believe you can draw conclusions from there. I am not good at explaining and I apologize. Good luck on your homework, common denominators are not hard to solve and I bet you will do a wonderful job in solving questions like these! You will soon become a Master at solving these kinds of questions in about a day from now and/or when you get to the upper grades like me! :)