I need some help with an algebra Q

x+1/9=4/3

I got...

4/3-1/9

= 36/27-3/27

= 33/27

x = 11/9 = 1 2/9.... now im suppose to check it but i dont know how...

Your working is correct

Put 11/9 into first line....[replace x] and see if the answer is 4/3

11/9 + 1/9 = 12/9
12/9 = 4/3..............answer checked

x + 1/9 = 4/3
x = (4/3) - (1/9)
x = (12/9) - (1/9)
x = 11/9

check

11/9 + 1/9 = 4/3
12/9 = 4/3
4/3 = 4/3

plug in (11/9) where x is , add it up and make sure it comes up to be (4/3)