Let's first convert the denominators into one both fractions can have. I usually just multiply the two denoninators.
11 x 8 = 88
8 x 11 = 88
Then I multiply the numerators by what I multiply their denominators by to get 88.
4 x 8 =32
3 x 11 = 33
32/88 + 33/88 = 65/88
65/88
I can't find number that can simplify 65/88, so I think that's the lowest terms!
Hope this helps.