https://file.aiquickdraw.com/mathbot/file/17341246491365lj4hilb.jpg

 PIL import Image
import pytesseract

# Load the image uploaded by the user
image_path = "/mnt/data/17341246491365lj4hilb.jpg"
image = Image.open(image_path)

# Use OCR to extract text from the image
extracted_text = pytesseract.image_to_string(image)
extracted_textThe text extraction from the image was unsuccessful. However, I can analyze the mathematical expression directly from the image you uploaded. Here's how I'll interpret and solve it:

### Problem:
The given mathematical expression is:

\[
\frac{\left(6 \frac{1}{3} - 2 \frac{1}{12}\right) : 2.72}{\frac{1}{12} + \frac{1}{4} \cdot 1.8}.
\]

Let me calculate this step by step. Perform the calculation step by step
from fractions import Fraction

# Top part of the numerator: (6 1/3 - 2 1/12)
part1_numerator = (6 + Fraction(1, 3)) - (2 + Fraction(1, 12))

# Numerator after division by 2.72
numerator = float(part1_numerator) / 2.72

# Bottom part: (1/12 + 1/4 * 1.8)
part1_denominator = Fraction(1, 4) * 1.8
denominator = Fraction(1, 12) + part1_denominator

# Final result: numerator / denominator
result = numerator / float(denominator)
part1_numerator, numerator, denominator, result### Step-by-Step Solution:

1. **Simplify the top numerator:**
   \[
   6 \frac{1}{3} - 2 \frac{1}{12} = \frac{19}{3} - \frac{25}{12} = \frac{17}{4}.
   \]

2. **Divide by 2.72:**
   \[
   \frac{\frac{17}{4}}{2.72} = 1.5625.
   \]

3. **Simplify the denominator:**
   \[
   \frac{1}{12} + \frac{1}{4} \cdot 1.8 = \frac{1}{12} + 0.45 = 0.533\overline{3}.
   \]

4. **Final division:**
   \[
   \frac{1.5625}{0.533\overline{3}} \approx 2.93.
   \]

### Final Answer:
\[
\boxed{2.93}
\]

Let me know if you want detailed explanations for any step! 

---

### Related Questions:
1. How do you convert mixed fractions into improper fractions for calculations?
2. What are the best practices when dividing decimals by fractions?
3. How do you simplify compound fractions step by step?
4. Why is it important to use parentheses to clarify operations in complex expressions?
5. How can approximations affect the accuracy of your result in real-life scenarios?

---

### Tip:
When working with fractions and decimals together, convert everything into one form (either fractions or decimals) to avoid errors in intermediate steps.

Solve the expression: ((6 1/3 - 2 1/12) ÷ 2.72) / (1/12 + 1/4 × 1.8).

Learn how to solve a complex mathematical expression involving mixed fractions, decimals, and the order of operations. This step-by-step solution simplifies the numerator and denominator to find the final result, ideal for Grades 8-10.

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