https://file.aiquickdraw.com/mathbot/file/1728760798056gae6il6i.jpg

The problem in the image asks to calculate the exact value of the following expression:

\[
\frac{(13 - 1)}{4} + \frac{(5 + 12)}{6 \div 3}
\]

Let's break down and solve this step by step.

### Step 1: Simplify the Numerators and Denominators Separately
1. Calculate \( 13 - 1 \):
   \[
   13 - 1 = 12
   \]
   
2. Calculate \( 5 + 12 \):
   \[
   5 + 12 = 17
   \]
   
3. Calculate \( 6 \div 3 \):
   \[
   6 \div 3 = 2
   \]

### Step 2: Substitute Back
The expression now becomes:
\[
\frac{12}{4} + \frac{17}{2}
\]

### Step 3: Simplify Each Fraction
1. Simplify \( \frac{12}{4} \):
   \[
   \frac{12}{4} = 3
   \]

2. Simplify \( \frac{17}{2} \) (This fraction cannot be simplified further):
   \[
   \frac{17}{2} = 8.5
   \]

### Step 4: Add the Results
\[
3 + 8.5 = 11.5
\]

### Final Answer:
\[
\boxed{11.5}
\]

Would you like any further details or explanations?

Here are 5 related questions that might interest you:
1. What is the order of operations, and why is it important in solving expressions?
2. How would the answer change if there were parentheses around \(6 \div 3\) making it \((6 \div 3)\)?
3. Can you simplify the expression without converting \( \frac{17}{2} \) to a decimal?
4. What is the difference between integer and fractional results in expressions?
5. How can you convert an improper fraction like \( \frac{17}{2} \) to a mixed number?

**Tip:** Always simplify each part of an expression separately before combining them, especially when dealing with fractions and arithmetic operations.

Calculate the exact value of the following expression: (13 - 1) / 4 + (5 + 12) / (6 ÷ 3)

Learn how to calculate the exact value of the arithmetic expression (13 - 1) / 4 + (5 + 12) / (6 ÷ 3). This solution breaks down the order of operations and fraction simplifications step-by-step. Ideal for students in Grades 6-8.

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