To solve \(\frac{-8}{3} \div \frac{-5}{18}\), we follow the rule of dividing fractions by multiplying the first fraction by the reciprocal of the second fraction:

\[
\frac{-8}{3} \div \frac{-5}{18} = \frac{-8}{3} \times \frac{18}{-5}
\]

Now, multiply the numerators and the denominators:

\[
\frac{-8 \times 18}{3 \times -5} = \frac{-144}{-15} = \frac{144}{15}
\]

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

\[
\frac{144 \div 3}{15 \div 3} = \frac{48}{5}
\]

Thus, the result is \(\frac{48}{5}\), or in decimal form, 9.6.

Do you need more details or have any questions?

Here are 5 related questions:
1. How do you multiply two fractions?
2. What is the reciprocal of a fraction, and why is it used in division?
3. Can you show how to simplify a fraction step by step?
4. How do you convert improper fractions to mixed numbers?
5. What are the properties of dividing two negative numbers?

**Tip:** When dividing fractions, always multiply by the reciprocal of the second fraction to make the operation easier.

Learn how to divide fractions by multiplying with the reciprocal and simplifying the result. In this example, -8/3 ÷ -5/18 is solved step-by-step, including the use of negative numbers and fraction simplification. The final answer is 48/5 or 9.6 in decimal form. Suitable for Grades 6-8.

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