To simplify the expression \( \frac{52}{-72} \div 23 \), follow these steps:

1. First, simplify \( \frac{52}{-72} \).
   \[
   \frac{52}{-72} = \frac{13}{-18}
   \]
   (since both 52 and 72 can be divided by 4).

2. Now divide this result by 23:
   \[
   \frac{\frac{13}{-18}}{23} = \frac{13}{-18} \times \frac{1}{23} = \frac{13}{-414}
   \]

Thus, the simplified result is:
\[
\frac{13}{-414}
\]
or \( -\frac{13}{414} \).

Would you like any additional details or further clarifications?

Here are 5 related questions:
1. How do you multiply fractions involving negative numbers?
2. What is the greatest common divisor (GCD) and how is it used to simplify fractions?
3. How do you divide fractions and whole numbers?
4. What are the steps for reducing complex fractions?
5. How can you convert a fraction into a decimal?

**Tip:** When dividing by a number, it's the same as multiplying by its reciprocal!

Explore how to simplify the fraction 52/-72 divided by 23. This solution includes step-by-step methods for simplifying fractions, handling division with negative numbers, and applying the reciprocal theorem. Suitable for students in Grades 6-8.

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