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Question 9 of 10

What is the product of the fractions below?
[tex]\[ \frac{5}{2} \cdot \frac{3}{4} \][/tex]

A. [tex]\(\frac{15}{8}\)[/tex]

B. [tex]\(\frac{4}{3}\)[/tex]

C. 1

D. [tex]\(\frac{5}{2}\)[/tex]

Sagot :

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]