Question 10 Multiply. Simplify your answer and write as a mixed or whole number. $$ 2 \frac{1}{3} \cdot 5 $$ $$ \square $$

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To multiply $$ 2 \frac{1}{3} $$ by $$ 5 $$ and express the result as a mixed or whole number, follow these steps:

1. **Convert the Mixed Number to an Improper Fraction:**

A mixed number like $$ 2 \frac{1}{3} $$ can be converted to an improper fraction by using the formula:

$$
   \text{Improper Fraction} = (\text{Whole Number} \times \text{Denominator}) + \text{Numerator}
   $$

Applying this:

$$
   2 \frac{1}{3} = \frac{(2 \times 3) + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3}
   $$

2. **Multiply by 5:**

Now, multiply the improper fraction by 5:

$$
   \frac{7}{3} \times 5 = \frac{7 \times 5}{3} = \frac{35}{3}
   $$

3. **Convert Back to a Mixed Number:**

To express $$ \frac{35}{3} $$ as a mixed number:

- Divide 35 by 3: 
     $$
     35 \div 3 = 11 \text{ with a remainder of } 2
     $$
   - This means:
     $$
     \frac{35}{3} = 11 \frac{2}{3}
     $$

**Final Answer:**

$$
2 \frac{1}{3} \times 5 = 11 \frac{2}{3}
$$
$$ 2 \frac{1}{3} \times 5 = 11 \frac{2}{3} $$

Question 10 Multiply. Simplify your answer and write as a mixed or whole number. \( 2 \frac{1}{3} \cdot 5 \) \( \square \)

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