pytesseract

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image_path = '/mnt/data/1732993226196qm0tw77m.jpgThe text extraction from the image did not yield any results. However, based on the image, the problem appears to be:

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

Let me solve it for you step-by### Step-by-step Solution:

We are solving:

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

Step 1: Convert mixed fractions to improper fractions

• $2 \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4}$
• $3 \frac{2}{3} = \frac{9}{3} + \frac{2}{3} = \frac{11}{3}$

So, the expression becomes: $\frac{11}{4} + \frac{2}{5} - \frac{11}{3}$

Step 2: Find the Least Common Denominator (LCD)

The denominators are $4, 5, 3$. The LCD is $60$.

Step 3: Rewrite each fraction with a denominator of $60$

• $\frac{11}{4} = \frac{11 \times 15}{4 \times 15} = \frac{165}{60}$
• $\frac{2}{5} = \frac{2 \times 12}{5 \times 12} = \frac{24}{60}$
• $\frac{11}{3} = \frac{11 \times 20}{3 \times 20} = \frac{220}{60}$

The expression now becomes: $\frac{165}{60} + \frac{24}{60} - \frac{220}{60}$

Step 4: Combine the fractions

$\frac{165 + 24 - 220}{60} = \frac{-31}{60}$

Final Answer:

$- \frac{31}{60}$

Would you like a further breakdown or additional explanation? Here are related questions for practice:

1. How do you convert mixed numbers to improper fractions?
2. What is the process of finding the least common denominator (LCD)?
3. Why is it important to rewrite fractions with the same denominator before combining them?
4. Can you solve $3 \frac{1}{2} - \frac{5}{6} + 2 \frac{2}{3}$?
5. How do you simplify fractions when the numerator and denominator have a common factor?

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