PIL import Image import pytesseract

Load the image

image_path = "/mnt/data/17331364048390h7gfg1e.jpg" image = Image.open(image_path)

Use OCR to extract text

extracted_text = pytesseract.image_to_string(image) extracted_textThe exercise asks to simplify the given rational expression:

$\frac{\frac{2}{a} + \frac{7}{b}}{b}.$

Solution:

1. Combine the fractions in the numerator ($\frac{2}{a} + \frac{7}{b}$): $\frac{2}{a} + \frac{7}{b} = \frac{2b + 7a}{ab}.$

2. Substitute this result into the original expression: $\frac{\frac{2b + 7a}{ab}}{b}.$

3. Simplify the division by $b$ (division by $b$ is equivalent to multiplying by $\frac{1}{b}$): $\frac{\frac{2b + 7a}{ab}}{b} = \frac{2b + 7a}{ab \cdot b}.$

4. Simplify the denominator: $\frac{2b + 7a}{ab^2}.$

Final Answer:

$\frac{2b + 7a}{ab^2}.$

Let me know if you want more detailed steps or have further questions.

Here are related questions for practice:

1. How do you simplify complex rational expressions?
2. What are the rules for combining fractions with different denominators?
3. How can you factorize expressions like $2b + 7a$ if needed?
4. What happens if one of the variables $a$ or $b$ equals zero?
5. How would the solution change if the numerator had subtraction instead of addition?

Tip: Always ensure the variables in the denominator are non-zero to keep the expression valid.