Let's solve the expression:

\[
\frac{-1}{9} \times (-5) \times \frac{3}{10}
\]

### Step 1: Multiply the fractions and numbers
First, multiply \(\frac{-1}{9}\) and \(-5\):

\[
\frac{-1}{9} \times (-5) = \frac{5}{9}
\]

Now, multiply \(\frac{5}{9}\) by \(\frac{3}{10}\):

\[
\frac{5}{9} \times \frac{3}{10} = \frac{5 \times 3}{9 \times 10} = \frac{15}{90}
\]

### Step 2: Simplify the fraction
\(\frac{15}{90}\) simplifies to \(\frac{1}{6}\).

Thus, the result is:

\[
\frac{1}{6}
\]

Do you need more details or have any questions?

Here are five related questions:
1. How do you simplify a fraction like \(\frac{15}{90}\)?
2. What are the rules for multiplying fractions?
3. What happens when you multiply two negative numbers?
4. How do you find the greatest common divisor of two numbers?
5. Can you explain how to multiply mixed numbers?

**Tip:** Always look for opportunities to simplify fractions after multiplying.

Learn how to multiply fractions with negative numbers in this step-by-step guide for the expression 1/9 * (-5) * 3/10. Understand the rules of multiplying fractions, simplifying fractions, and handling negative numbers. Suitable for students in Grades 6-8.

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