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!

Learn how to simplify the expression 52/-72 ÷ 23. This step-by-step solution involves dividing fractions, simplifying with the GCD, and handling negative numbers. Suitable for students in Grades 6-8.

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