Answer: 7/12
Step-by-step explanation: To add these two fractions together, we start by finding their common denominator.
The common denominator for 3 and 4 will be the least common multiple of 3 and 4 which is 12. So we multiply the top and bottom of our first fraction by 4 and the top and bottom of our second fraction by 3. That gives us 4/12 + 3/12 which simplifies to 7/12.
Therefore, 1/3 + 1/4 = 7/12 which is in lowest terms.
My work is attached in the image provided.