https://file.aiquickdraw.com/mathbot/file/1725636218616c6utaeh7.jpg

The expression in the image you provided is:

\[
1 \frac{3}{4} \times (10 - 5) \times 1 \div (2 + 3)
\]

Let's break this down step by step:

1. Convert the mixed fraction \(1 \frac{3}{4}\) to an improper fraction:
   \[
   1 \frac{3}{4} = \frac{7}{4}
   \]

2. Simplify the expression inside the parentheses:
   \[
   (10 - 5) = 5
   \]
   \[
   (2 + 3) = 5
   \]

3. Substitute these values into the expression:
   \[
   \frac{7}{4} \times 5 \times 1 \div 5
   \]

4. Simplify the multiplication and division:
   \[
   \frac{7}{4} \times 5 = \frac{35}{4}
   \]
   \[
   \frac{35}{4} \times 1 \div 5 = \frac{35}{4} \times \frac{1}{5} = \frac{35}{20} = \frac{7}{4}
   \]

So the final result is:

\[
\frac{7}{4} \quad \text{or} \quad 1.75
\]

Would you like a detailed explanation of any particular step? Here are some follow-up questions to enhance your understanding:

1. How do you convert mixed numbers into improper fractions?
2. What are the rules for multiplying and dividing fractions?
3. How do you simplify expressions with both multiplication and division?
4. Can you explain how parentheses affect the order of operations in this problem?
5. How would the result change if we changed the values inside the parentheses?

**Tip:** Always handle parentheses and fractional conversions before other operations for accuracy!

Learn how to simplify the expression 1 3/4 (10-5) x 1 / (2+3). This problem covers converting mixed fractions to improper fractions, multiplying and dividing fractions, and following the order of operations. Suitable for students in Grades 6-8.

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