It looks like you're trying to represent a mathematical expression, but it's incomplete. Let me attempt to interpret it. Based on the way it's written, I think you mean:

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

If this interpretation is correct, we can now solve this expression.

Step 1: Simplify the denominator

The denominator is $3 + \frac{1}{4}$, which can be written as a fraction:

$3 + \frac{1}{4} = \frac{12}{4} + \frac{1}{4} = \frac{13}{4}$

Step 2: Rewrite the expression

Now the entire expression becomes:

$\frac{1}{\frac{13}{4}}$

Step 3: Simplify

Dividing by a fraction is equivalent to multiplying by its reciprocal:

$\frac{1}{\frac{13}{4}} = \frac{4}{13}$

Final Answer:

$\frac{4}{13}$

Would you like further details or explanations?

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Here are 5 related questions:

1. How do you simplify complex fractions?
2. What happens when you add two fractions with different denominators?
3. How do you convert a mixed number into an improper fraction?
4. How do you divide fractions?
5. What is the reciprocal of a fraction?

Tip: When adding fractions with different denominators, always find the least common denominator (LCD) to make calculations easier!