Let's solve the expression step by step:

$30 + \frac{1}{4} - 14 + 20 + 3 + \frac{1}{5}$

First, combine the whole numbers:

$30 - 14 + 20 + 3 = 39$

Now, add the fractions:

$\frac{1}{4} + \frac{1}{5} = \frac{5}{20} + \frac{4}{20} = \frac{9}{20}$

Finally, combine the result:

$39 + \frac{9}{20} = 39.45$

So, the final answer is:

$39.45$

Would you like more details on this? Here are some related questions:

1. How do you simplify fractions like $\frac{1}{4} + \frac{1}{5}$?
2. What are the common mistakes when solving such expressions?
3. How do you convert fractions to decimals quickly?
4. Can this expression be solved faster using a calculator?
5. What are other methods to approach this problem?

Tip: Always group whole numbers first before dealing with fractions for simplicity in calculations!