https://file.aiquickdraw.com/mathbot/file/1726774377051u8qhdp6o.jpg

The mathematical operation shown in the image is \( \frac{5}{9} \div \frac{12}{3} \). To solve this division of fractions, you can multiply the first fraction by the reciprocal of the second fraction.

First, simplify \(\frac{12}{3}\) to \(\frac{4}{1}\).

The operation now becomes:
\[
\frac{5}{9} \div \frac{4}{1} = \frac{5}{9} \times \frac{1}{4} = \frac{5 \times 1}{9 \times 4} = \frac{5}{36}
\]

Thus, \( \frac{5}{9} \div \frac{12}{3} = \frac{5}{36} \).

Do you need any more details or have another question? Here are some related topics you might consider:

1. How can multiplying by the reciprocal be used to simplify complex fraction operations?
2. What are other examples of dividing fractions?
3. How to simplify fractions before multiplying or dividing?
4. What is the importance of simplifying fractions in calculations?
5. How to convert improper fractions to mixed numbers?

Tip: Always simplify fractions within a division problem before multiplying to make calculations easier and reduce errors.

Solve 5/9 ÷ 1 2/3 and provide the answer as a simplified fraction.

Learn how to solve the division of fractions involving a mixed number: 5/9 ÷ 1 2/3. This example demonstrates the use of reciprocals and fraction simplification. Suitable for students in Grades 5-7.

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