The given addition statement is:

$\frac{3}{4} + \frac{1}{7}$

To add fractions, we need to find the least common denominator (LCD) between the two denominators (4 and 7). The LCD is the least common multiple (LCM) of 4 and 7.

• The prime factorization of 4 is $2^2$.
• The prime factorization of 7 is $7$ (since 7 is a prime number).

The least common multiple of 4 and 7 is $2^2 \times 7 = 28$.

Thus, the common denominator to use is 28.

Would you like to go into more detail or ask further questions? Here are some related questions for further exploration:

1. How do you convert both fractions to have the same denominator?
2. How do you find the least common multiple (LCM) of two numbers?
3. Can you add fractions with different denominators directly?
4. What is the process to add fractions after converting them to a common denominator?
5. Can you apply this method to subtract fractions?

Tip: When adding or subtracting fractions, always look for the least common denominator to simplify the calculations.