Answer :

To solve the problem of multiplying the fractions [tex]\(\frac{5}{9}\)[/tex] and [tex]\(\frac{13}{15}\)[/tex], we follow these steps:

1. Multiply the numerators:
- The numerator of the first fraction is 5.
- The numerator of the second fraction is 13.
- Multiply them together: [tex]\(5 \times 13 = 65\)[/tex].

2. Multiply the denominators:
- The denominator of the first fraction is 9.
- The denominator of the second fraction is 15.
- Multiply them together: [tex]\(9 \times 15 = 135\)[/tex].

3. Form the new fraction:
- After multiplying the numerators and the denominators, the resulting fraction is [tex]\(\frac{65}{135}\)[/tex].

4. Simplify the fraction:
- To simplify the fraction, find the greatest common divisor (GCD) of 65 and 135.
- The GCD of 65 and 135 is 5.
- Divide the numerator and the denominator by their GCD:
- Simplified numerator: [tex]\(65 \div 5 = 13\)[/tex].
- Simplified denominator: [tex]\(135 \div 5 = 27\)[/tex].

5. Write the final simplified fraction:
- The simplified form of [tex]\(\frac{65}{135}\)[/tex] is [tex]\(\frac{13}{27}\)[/tex].

So, the product of [tex]\(\frac{5}{9} \times \frac{13}{15}\)[/tex] simplifies to [tex]\(\frac{13}{27}\)[/tex].

Thanks for taking the time to read Calculate the product of the fractions tex frac 5 9 times frac 13 15 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada