The problem in the image is to add $\frac{1}{7} + \frac{3}{4}$ and write the answer in simplest form.

Solution:

To add fractions, we need a common denominator:

1. The denominators are $7$ and $4$. Their least common denominator (LCD) is $28$.
2. Rewrite each fraction with a denominator of $28$: $\frac{1}{7} = \frac{4}{28}, \quad \frac{3}{4} = \frac{21}{28}.$
3. Add the numerators while keeping the common denominator: $\frac{4}{28} + \frac{21}{28} = \frac{25}{28}.$

Final Answer:

$\frac{25}{28}$

This is already in simplest form.

Let me know if you'd like further clarification or additional help!

Here are 5 related questions for deeper understanding:

1. How do you find the least common denominator (LCD) for two fractions?
2. Why is it important to simplify fractions to their lowest terms?
3. Can you explain how to subtract two fractions with different denominators?
4. What happens if one or both fractions are improper?
5. How can we convert a fraction into a decimal?

Tip: When adding fractions, always ensure the denominators are the same before proceeding with the addition.