To solve \( 7 \times (-1 \frac{2}{3}) \), follow these steps:

### Step 1: Convert the mixed number to an improper fraction.
The mixed number \( -1 \frac{2}{3} \) can be converted to an improper fraction as follows:
\[
-1 \frac{2}{3} = -\left( \frac{3 \times 1 + 2}{3} \right) = -\frac{5}{3}
\]

### Step 2: Multiply the integer by the improper fraction.
Now, multiply \( 7 \times -\frac{5}{3} \):
\[
7 \times -\frac{5}{3} = -\frac{35}{3}
\]

### Step 3: Convert to a mixed number (optional).
\[
-\frac{35}{3} = -11 \frac{2}{3}
\]

So, the result is \( -11 \frac{2}{3} \).

Would you like more details or have any questions about this?

Here are 5 related questions:
1. How do you multiply fractions?
2. How do you convert improper fractions to mixed numbers?
3. What happens when you multiply by negative numbers?
4. How do you add and subtract mixed numbers?
5. How do you simplify fractions?

**Tip:** When working with mixed numbers, always convert them to improper fractions

This guide explains how to solve the multiplication of 7 by the mixed number -1 2/3. It includes converting mixed numbers to improper fractions, multiplying by a negative number, and presenting the final result as a mixed number. Ideal for students in Grades 6-8.

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