The expression in the image is:

$\frac{3}{4} + \frac{1}{2} \times 2 - \frac{2}{3} \times \frac{5}{4}$

Let me simplify this step by step.

1. Handle the multiplication first:

   • $\frac{1}{2} \times 2 = 1$
   • $\frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}$

2. Now rewrite the expression: $\frac{3}{4} + 1 - \frac{5}{6}$

3. Find a common denominator for the fractions $\frac{3}{4}$ and $\frac{5}{6}$:

   • The least common denominator between 4 and 6 is 12.
   • Convert $\frac{3}{4}$ to $\frac{9}{12}$ and $\frac{5}{6}$ to $\frac{10}{12}$.

4. Simplify the expression: $\frac{9}{12} + 1 - \frac{10}{12}$ Combine the fractions: $\left(\frac{9}{12} - \frac{10}{12}\right) + 1 = \frac{-1}{12} + 1$

5. Final simplification: $1 - \frac{1}{12} = \frac{12}{12} - \frac{1}{12} = \frac{11}{12}$

The simplified result is:

$\boxed{\frac{11}{12}}$

Would you like more details on any step? Here are five related questions:

1. How do you find the least common denominator between fractions?
2. What are the rules for adding and subtracting fractions?
3. Can you explain why multiplying a fraction by 2 results in a whole number?
4. How would the process change if there were division instead of multiplication?
5. What is the importance of simplifying fractions?

Tip: Always remember to handle multiplication and division before addition and subtraction when simplifying expressions (PEMDAS rule).