Question 10 Divide. Write your answer in lowest terms. $$ 10 \div \frac{2}{9} $$ Question Help: $$ \square $$ Video 1 Video 2 Message instructor D Post to forum

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To solve the division $$ 10 \div \frac{2}{9} $$ and express the answer in lowest terms, follow these steps:

1. **Understand Division by a Fraction**:
   Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $$ \frac{2}{9} $$ is $$ \frac{9}{2} $$.

2. **Set Up the Multiplication**:
   $$
   10 \div \frac{2}{9} = 10 \times \frac{9}{2}
   $$

3. **Multiply**:
   $$
   10 \times \frac{9}{2} = \frac{10 \times 9}{2} = \frac{90}{2}
   $$

4. **Simplify the Fraction**:
   $$
   \frac{90}{2} = 45
   $$

5. **Final Answer**:
   $$
   45
   $$

So, $$ 10 \div \frac{2}{9} = 45 $$.

**Answer:**  
45
$$ 10 \div \frac{2}{9} = 45 $$

Question 10 Divide. Write your answer in lowest terms. \( 10 \div \frac{2}{9} \) Question Help: \( \square \) Video 1 Video 2 Message instructor D Post to forum

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