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! :)

The power of the root of the power of a variable can be written as a rational power by creating a rational exponent that is the product of the powers divided by the root. The rational exponent should be reduced to lowest terms. For example, the seventh power of the sixth root of the fifth power of x will be x^(7*5/6) = x^(35/6).
hope it helps