https://file.aiquickdraw.com/mathbot/file/1727406426004s62nf8m6.jpg

The expression you provided from the image is:

\[
\frac{5}{3(5 - 3)}
\]

### Step-by-Step Solution:

1. **Simplify the denominator**:  
   \( 5 - 3 = 2 \), so the expression becomes:
   \[
   \frac{5}{3 \times 2}
   \]

2. **Multiply in the denominator**:  
   \( 3 \times 2 = 6 \), so the expression now is:
   \[
   \frac{5}{6}
   \]

### Final Answer:
The value of the expression is \( \frac{5}{6} \), which matches the provided solution.

Let me know if you'd like any more details or have any further questions!

Here are 5 related questions to extend your understanding:
1. How would the result change if the denominator was \( 3(5 + 3) \) instead of \( 3(5 - 3) \)?
2. What is the decimal form of \( \frac{5}{6} \)?
3. How do you simplify an expression like \( \frac{5x}{3(5 - 3)} \) if there is a variable involved?
4. Can you express \( \frac{5}{6} \) as a percentage?
5. What would happen to the fraction if you doubled both the numerator and the denominator?

**Tip:** Always simplify the expressions inside parentheses first to avoid calculation errors!

Evaluate the expression without using a calculator: 5 / 3(5 - 3)

Learn how to simplify the expression 5 / 3(5 - 3) without using a calculator. This problem demonstrates the application of order of operations and fraction simplification. Suitable for middle school students in Grades 6-8.

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