2 

2

3

 ÷ 

1 

1

9

 = 

Submit


The problem presented is:

\[
\frac{2 \frac{2}{3}}{1 \frac{1}{9}}
\]

This can be simplified and solved step by step:

1. **Convert the mixed numbers to improper fractions:**

   \[
   2 \frac{2}{3} = \frac{8}{3}
   \]
   \[
   1 \frac{1}{9} = \frac{10}{9}
   \]

2. **Set up the division of fractions:**

   \[
   \frac{8}{3} \div \frac{10}{9}
   \]

3. **Convert the division to multiplication by the reciprocal:**

   \[
   \frac{8}{3} \times \frac{9}{10}
   \]

4. **Multiply the fractions:**

   \[
   \frac{8 \times 9}{3 \times 10} = \frac{72}{30}
   \]

5. **Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 6:**

   \[
   \frac{72 \div 6}{30 \div 6} = \frac{12}{5}
   \]

So, the final answer is:

\[
\frac{12}{5} \text{ or } 2.4
\]

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How do you convert mixed numbers to improper fractions?
2. What is the process for dividing fractions?
3. How do you find the greatest common divisor (GCD) to simplify fractions?
4. What is the significance of using the reciprocal when dividing fractions?
5. How can improper fractions be converted back to mixed numbers?

**Tip:** When working with fractions, always double-check that you have simplified the result as much as possible to get the most accurate answer.

Learn how to solve the division of mixed fractions problem: 2 2/3 divided by 1 1/9. Understand the process of converting mixed numbers to improper fractions, dividing fractions using reciprocals, and simplifying fractions. Suitable for students in Grades 6-8.

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