To find the product of the fractions [tex]\(\frac{5}{2}\)[/tex] and [tex]\(\frac{3}{4}\)[/tex], we need to multiply the numerators together and the denominators together.
1. Write down the fractions:
[tex]\[
\frac{5}{2} \quad \text{and} \quad \frac{3}{4}
\][/tex]
2. Multiply the numerators:
[tex]\[
5 \times 3 = 15
\][/tex]
3. Multiply the denominators:
[tex]\[
2 \times 4 = 8
\][/tex]
4. Combine the results to form the new fraction:
[tex]\[
\frac{15}{8}
\][/tex]
Therefore, the product of [tex]\(\frac{5}{2}\)[/tex] and [tex]\(\frac{3}{4}\)[/tex] is [tex]\(\frac{15}{8}\)[/tex].
The correct answer is:
A. [tex]\(\frac{15}{8}\)[/tex]
