The expression in the image is:

$3 \cdot \left( \frac{3}{4} \right) + 2 \cdot \left( \frac{3}{4} \right) + 4$

Let's solve it step by step.

1. Simplify the multiplication: $3 \cdot \frac{3}{4} = \frac{9}{4}$ $2 \cdot \frac{3}{4} = \frac{6}{4}$

2. Add the results: $\frac{9}{4} + \frac{6}{4} = \frac{15}{4}$

3. Add 4 (which is $\frac{16}{4}$): $\frac{15}{4} + \frac{16}{4} = \frac{31}{4}$

So, the final result is:

$\frac{31}{4} = 7.75$

Would you like a further explanation, or do you have any questions?

Here are five related questions:

1. How would the result change if the second coefficient was 3 instead of 2?
2. What if both fractions were $\frac{3}{5}$ instead of $\frac{3}{4}$?
3. How can this be written in decimal form without fractions?
4. How do we handle similar expressions with negative numbers?
5. How does the order of operations (PEMDAS) apply to solving this?

Tip: When dealing with fractions, converting all terms to a common denominator simplifies addition or subtraction steps.