Answer:
[tex]\frac{5}{6}x+\frac{2}{3}y[/tex]
Step-by-step explanation:
The first thing we should do is change all the denominators to the lcm, which is 6.
[tex]\frac{1}{2}x+\frac{1}{3}y+\frac{1}{3}x+\frac{1}{3}y\\\\\frac{3}{6}x+\frac{2}{6}y+\frac{2}{6}x+\frac{2}{6}y[/tex]
Now we just combine like terms
[tex]\frac{3}{6}x+\frac{2}{6}y+\frac{2}{6}x+\frac{2}{6}y\\\\\frac{5}{6}x+\frac{4}{6}y[/tex]
Now we got the answer but we should still simplify the [tex]\frac{4}{6}[/tex], so it will end up being [tex]\frac{2}{3}[/tex]. So the expression would look like this.
[tex]\frac{5}{6}x+\frac{2}{3}y[/tex]
