https://file.aiquickdraw.com/mathbot/file/1725402396603fyt1hcbo.jpg

The problem shown in the image asks to evaluate the expression:

\[
\frac{26 - 3 \times 2}{37 - 5}
\]

Let's break it down step by step.

### Step 1: Simplify the numerator
The numerator of the expression is \(26 - 3 \times 2\).

According to the order of operations (PEMDAS/BODMAS), we first perform multiplication:
\[
3 \times 2 = 6
\]
Now, subtract 6 from 26:
\[
26 - 6 = 20
\]

So, the numerator simplifies to 20.

### Step 2: Simplify the denominator
The denominator of the expression is \(37 - 5\).

Simply subtract 5 from 37:
\[
37 - 5 = 32
\]

So, the denominator simplifies to 32.

### Step 3: Form the simplified fraction
Now, substitute the simplified numerator and denominator back into the fraction:
\[
\frac{20}{32}
\]

### Step 4: Simplify the fraction
The fraction \(\frac{20}{32}\) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
\[
\frac{20 \div 4}{32 \div 4} = \frac{5}{8}
\]

Thus, the final answer is:
\[
\frac{5}{8}
\]

Would you like more details or have any questions about this problem?

### Related Questions:
1. What are the steps involved in applying the order of operations (PEMDAS/BODMAS)?
2. How do you find the greatest common divisor (GCD) of two numbers?
3. How can you simplify complex fractions?
4. What is the importance of simplifying fractions in mathematics?
5. Can you provide examples of similar fraction simplifications?

### Tip:
Always double-check your arithmetic when performing basic operations like addition, subtraction, multiplication, and division, especially when dealing with fractions.

Evaluate the expression (26 - 3 × 2) / (37 - 5).

Explore how to evaluate and simplify the expression (26 - 3 × 2) / (37 - 5) using the order of operations and fraction simplification techniques. This problem is suitable for students in Grades 6-8.

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