https://file.aiquickdraw.com/mathbot/file/172658131037219y4qhbs.jpg

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).

Simplify: 3/4 + (1/2) * 2 - (2/3) * (5/4)

Learn how to simplify the fractional expression 3/4 + (1/2) * 2 - (2/3) * (5/4) with step-by-step instructions. This problem involves fraction multiplication, finding the least common denominator, and simplifying the result to 11/12. Suitable for students in Grades 6-8.

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