To solve $\frac{\frac{11}{2}}{\frac{5}{2}}$, we can simplify the division of two fractions by multiplying the numerator by the reciprocal of the denominator:

$\frac{\frac{11}{2}}{\frac{5}{2}} = \frac{11}{2} \times \frac{2}{5}$

Now, multiply the fractions:

$\frac{11 \times 2}{2 \times 5} = \frac{22}{10}$

We can simplify $\frac{22}{10}$ by dividing both the numerator and denominator by their greatest common divisor (which is 2):

$\frac{22}{10} = \frac{11}{5}$

So, the result is $\frac{11}{5}$, or 2.2 when expressed as a decimal.

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Here are some related questions you might find useful:

1. How do you simplify division of fractions with different numerators and denominators?
2. What is the rule for multiplying fractions?
3. How do you find the greatest common divisor (GCD) of two numbers?
4. How do you convert a fraction into a decimal?
5. What is the process of dividing fractions step by step?

Tip: When dividing fractions, always remember to multiply by the reciprocal of the second fraction!