Answer:
![(5)/(6)x+(2)/(3)y](https://img.qammunity.org/2022/formulas/mathematics/high-school/547nz3qx6qg9i1amshjs2cj652p6gdlxay.png)
Explanation:
The first thing we should do is change all the denominators to the lcm, which is 6.
![(1)/(2)x+(1)/(3)y+(1)/(3)x+(1)/(3)y\\\\(3)/(6)x+(2)/(6)y+(2)/(6)x+(2)/(6)y](https://img.qammunity.org/2022/formulas/mathematics/high-school/nysy7m51rgjevje3rn91kxjz6ssrl2z962.png)
Now we just combine like terms
![(3)/(6)x+(2)/(6)y+(2)/(6)x+(2)/(6)y\\\\(5)/(6)x+(4)/(6)y](https://img.qammunity.org/2022/formulas/mathematics/high-school/gce05azq5iwilw8l0q38h8xko6l8sncrd1.png)
Now we got the answer but we should still simplify the
, so it will end up being
. So the expression would look like this.
![(5)/(6)x+(2)/(3)y](https://img.qammunity.org/2022/formulas/mathematics/high-school/547nz3qx6qg9i1amshjs2cj652p6gdlxay.png)