Math Problem Statement

Complete all the questions

Complete all the questions from the given image, which includes calculations involving integers, fractions, and mixed numbers.

Solution

from PIL import Image import pytesseract

Load the uploaded image

image_path = '/mnt/data/1732441109575m7r488wm.jpg' image = Image.open(image_path)

Use OCR to extract the text

extracted_text = pytesseract.image_to_string(image)

extracted_text'+ Calculate-\n\n4) 1-134 2h- 36 + 42\n\n—\n\n''+ Calculate-\n\n4) 1-134 2h- 36 + 42\n\n—\n\n'successThe text extraction did not capture the content well. Let me process and solve each question visually based on the image provided:


(1) 713+2136+427 - 13 + 21 - 36 + 42

Solution:

Perform step-by-step addition and subtraction:

  1. 713=67 - 13 = -6
  2. 6+21=15-6 + 21 = 15
  3. 1536=2115 - 36 = -21
  4. 21+42=21-21 + 42 = 21

Answer: 2121


(2) 18+(35)(26)(+46)+52+(25)18 + (-35) - (-26) - (+46) + 52 + (-25)

Solution:

Step-by-step calculation:

  1. 18+(35)=1718 + (-35) = -17
  2. 17(26)=17+26=9-17 - (-26) = -17 + 26 = 9
  3. 946=379 - 46 = -37
  4. 37+52=15-37 + 52 = 15
  5. 15+(25)=1015 + (-25) = -10

Answer: 10-10


(3) 4223(3823)(21723)+(1723)4 \frac{2}{23} - \left(3 \frac{8}{23}\right) - \left(-2 \frac{17}{23}\right) + \left(-1 \frac{7}{23}\right)

Solution:

Convert to improper fractions:

  • 4223=94234 \frac{2}{23} = \frac{94}{23}
  • 3823=77233 \frac{8}{23} = \frac{77}{23}
  • 21723=6323-2 \frac{17}{23} = -\frac{63}{23}
  • 1723=3023-1 \frac{7}{23} = -\frac{30}{23}

Perform operations:

  1. 94237723=1723\frac{94}{23} - \frac{77}{23} = \frac{17}{23}
  2. 1723(6323)=1723+6323=8023\frac{17}{23} - (-\frac{63}{23}) = \frac{17}{23} + \frac{63}{23} = \frac{80}{23}
  3. 8023+(3023)=80233023=5023\frac{80}{23} + (-\frac{30}{23}) = \frac{80}{23} - \frac{30}{23} = \frac{50}{23}

Convert back to a mixed number:

  • 5023=2423\frac{50}{23} = 2 \frac{4}{23}

Answer: 24232 \frac{4}{23}


(4) 312123514+21123 \frac{1}{2} - 1 \frac{2}{3} - 5 \frac{1}{4} + 2 \frac{1}{12}

Solution:

Convert to improper fractions:

  • 312=723 \frac{1}{2} = \frac{7}{2}
  • 123=531 \frac{2}{3} = \frac{5}{3}
  • 514=2145 \frac{1}{4} = \frac{21}{4}
  • 2112=25122 \frac{1}{12} = \frac{25}{12}

Find the least common denominator (LCD = 12):

  • 72=4212\frac{7}{2} = \frac{42}{12}
  • 53=2012\frac{5}{3} = \frac{20}{12}
  • 214=6312\frac{21}{4} = \frac{63}{12}
  • 2512\frac{25}{12} remains unchanged.

Perform operations:

  1. 42122012=2212=116\frac{42}{12} - \frac{20}{12} = \frac{22}{12} = \frac{11}{6}
  2. 1166312=22126312=4112\frac{11}{6} - \frac{63}{12} = \frac{22}{12} - \frac{63}{12} = -\frac{41}{12}
  3. 4112+2512=1612=43-\frac{41}{12} + \frac{25}{12} = -\frac{16}{12} = -\frac{4}{3}

Convert back to a mixed number:

  • 43=113-\frac{4}{3} = -1 \frac{1}{3}

Answer: 113-1 \frac{1}{3}


Would you like detailed steps for any specific problem? Here are five related questions:

  1. How do you simplify mixed fractions?
  2. What is the importance of LCD in fraction arithmetic?
  3. How do you handle negative numbers in subtraction problems?
  4. Can you explain improper fractions vs. mixed fractions?
  5. Why is step-by-step computation crucial in solving these problems?

Tip: Always double-check calculations when working with fractions to avoid errors in denominators!

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Math Problem Analysis

Mathematical Concepts

Arithmetic operations
Fractions
Mixed numbers
Negative numbers

Formulas

Basic operations (addition, subtraction)
Conversion between improper fractions and mixed numbers

Theorems

Properties of addition and subtraction

Suitable Grade Level

Grades 6-8