6/11 is a simplified version of the fraction and its the most simple you can get.
What you have to do first is put them both into improper fractions first. 4 1/6 would be 4 time 6 plus 1 which equals 25/6. Next 1 5/6 would be 1 times 6 plus 5 which equals 11/6. Next what you have to do is subtract 25-6 which equals 19. Next you put 19/6. Two ways to answer is to leave it improper or as a mix number. Answer for improper fraction is 19/6. The other way for a mix number is 3 1/6.
I would use elimination. I would multiply 4x+3y=2 by 3 so the it becomes 12x+9y=6, and I would multiply the bottom equation by 4 so that it becomes 12x+8y=4. Because I am using elimination I have to get rid of one variable, I chose to get rid of X hence that the coefficient of X in each equation is now 12. i simply subtract both equations and get y by itself. y=2. I plug in Y to find x in either of the original equations, where I get x=-1. To check my work substitute the values of x and y in the other equation. 4(-1)+3(2)=2 -------> 2=2
