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------------------------------------------------ Calculate the following expression:

\[ \frac{13}{15} \div \frac{2}{9} = \]

To solve the division of two fractions [tex]\(\frac{13}{15} \div \frac{2}{9}\)[/tex], you can follow these simple steps:

1. Understand division of fractions: Dividing by a fraction is the same as multiplying by its reciprocal. So, [tex]\(\frac{13}{15} \div \frac{2}{9}\)[/tex] becomes [tex]\(\frac{13}{15} \times \frac{9}{2}\)[/tex].

2. Multiply the fractions: To multiply two fractions, multiply the numerators together and the denominators together.
- Numerator: [tex]\(13 \times 9 = 117\)[/tex]
- Denominator: [tex]\(15 \times 2 = 30\)[/tex]

3. Form the result as a fraction: After multiplying, the fraction you get is [tex]\(\frac{117}{30}\)[/tex].

4. Convert to decimal (if required): You can convert the fraction into a decimal by performing the division.
- [tex]\(117 \div 30 = 3.9\)[/tex]

So, [tex]\(\frac{13}{15} \div \frac{2}{9} = 3.9\)[/tex].