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Here is a breakdown of the solutions for Tutorial 1:

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### **1. Simplify:**
   a. \( \frac{240}{8 \times 6} \)  
      - \( 8 \times 6 = 48 \)
      - \( \frac{240}{48} = 5 \)

   b. \( \frac{27}{17 - 8} \)  
      - \( 17 - 8 = 9 \)
      - \( \frac{27}{9} = 3 \)

   c. \( \frac{39 \div 3}{14 + 12} \)  
      - \( 39 \div 3 = 13 \)
      - \( 14 + 12 = 26 \)
      - \( \frac{13}{26} = \frac{1}{2} \)

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### **2. Find \( x \):**
   a. \( 2 : 3 = 8 : x \)  
      - \( \frac{2}{3} = \frac{8}{x} \)
      - Cross multiply: \( 2x = 24 \)
      - \( x = 12 \)

   b. \( 1 : 4 = x : 12 \)  
      - \( \frac{1}{4} = \frac{x}{12} \)
      - Cross multiply: \( 4x = 12 \)
      - \( x = 3 \)

   c. \( 3 : 2 = 15 : x \)  
      - \( \frac{3}{2} = \frac{15}{x}

Simplify, solve equations, convert time to seconds, graph solutions, and analyze teacher data based on the given prompts.

Explore detailed solutions for simplifying fractions, solving linear equations, converting time to seconds, graphing inequalities, and analyzing teacher data using percentages. Suitable for students in Grades 6-8.

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