Let's solve the expression \(-3 \times \frac{1}{3} \times (-2 \frac{7}{10})\).

### Step 1: Simplify \(-3 \times \frac{1}{3}\)
\[
-3 \times \frac{1}{3} = -1
\]

### Step 2: Convert the mixed number \(-2 \frac{7}{10}\) into an improper fraction.
\[
-2 \frac{7}{10} = -\frac{27}{10}
\]

### Step 3: Multiply the simplified result from Step 1 by the improper fraction.
\[
-1 \times \left(-\frac{27}{10}\right) = \frac{27}{10}
\]

So, the final answer is \(\frac{27}{10}\), or as a decimal, \(2.7\).

Would you like more details or have any other questions?

### Related Questions:
1. How do you convert a mixed number to an improper fraction?
2. What are the rules for multiplying negative numbers?
3. How do you simplify fractions after multiplication?
4. What is the decimal equivalent of common fractions like \(\frac{1}{10}\)?
5. How do you handle multiplying fractions with negative signs?

### Tip:
When multiplying fractions, always simplify before multiplying to make the calculation easier!

Learn how to solve the multiplication of fractions and mixed numbers in the problem -3(1/3) x (-2 7/10). This step-by-step solution covers converting mixed numbers to improper fractions and multiplying negative numbers. Suitable for students in Grades 6-8.

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