Math Problem Statement

Simplify the expression: (7 * 4 - (9 / 9)) / (15 - [4^2 - 2(5)])

Solution

PIL import Image import pytesseract

Load the image to extract the mathematical expression

image_path = '/mnt/data/1733366815074mcyi9mx1.jpg' image = Image.open(image_path)

Use OCR to extract text

extracted_text = pytesseract.image_to_string(image, config='--psm 6') extracted_textThe extracted text from the image seems unclear and disorganized due to OCR inaccuracies. However, based on the visible mathematical expression, the problem appears to involve simplifying and solving the given equation.

To solve it, I will manually interpret and write down the expression:

The numerator: 74(9÷9)7 \cdot 4 - (9 \div 9)

The denominator: 15[422(5)]15 - [4^2 - 2(5)]

Full expression:

74(9÷9)15[422(5)]\frac{7 \cdot 4 - (9 \div 9)}{15 - [4^2 - 2(5)]}

Now, let me simplify and calculate this step by step.

Numerator:

  1. 74=287 \cdot 4 = 28
  2. 9÷9=19 \div 9 = 1
  3. 281=2728 - 1 = 27

Numerator = 2727

Denominator:

  1. 42=164^2 = 16
  2. 2(5)=102(5) = 10
  3. 1610=616 - 10 = 6
  4. 156=915 - 6 = 9

Denominator = 99

Final Calculation:

279=3\frac{27}{9} = 3

The final answer is 3.

Would you like a detailed explanation of any specific step, or do you have further questions? Here are some follow-up questions for deeper understanding:

  1. What are the rules for solving equations with multiple operations (order of operations)?
  2. Why is 424^2 calculated before subtraction?
  3. How does dividing integers affect the numerator simplification?
  4. Can this problem be written differently without brackets or parentheses?
  5. How would the result change if the denominator included multiplication instead?

Tip: Always solve expressions in the correct order—Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Division
Exponentiation
Subtraction

Formulas

PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

Theorems

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Suitable Grade Level

Grades 6-8