To solve the multiplication of two fractions, [tex]\(\frac{3}{8} \times \frac{5}{7}\)[/tex], follow these steps:
1. Multiply the numerators:
[tex]\[
3 \times 5 = 15
\][/tex]
2. Multiply the denominators:
[tex]\[
8 \times 7 = 56
\][/tex]
3. Write the result as a fraction:
[tex]\[
\frac{3}{8} \times \frac{5}{7} = \frac{15}{56}
\][/tex]
So, the product of [tex]\(\frac{3}{8}\)[/tex] and [tex]\(\frac{5}{7}\)[/tex] is [tex]\(\frac{15}{56}\)[/tex].
This solution can also be expressed in tuple form as [tex]\((15, 56)\)[/tex]. Therefore, the final answer is:
[tex]\[
\left( \frac{15}{56} \right)
\][/tex]
