College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Calculate the following expression:

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

Answer :

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].