Instructions:
Choose the best answer. If necessary, use the paper you were given.

Question:
What is the product of [tex]2 \frac{2}{3}[/tex] and [tex]3 \frac{3}{8}[/tex]?

A. [tex]5 \frac{5}{11}[/tex]
B. [tex]6 \frac{1}{24}[/tex]
C. 7



Answer :

To find the product of [tex]\( 2 \frac{2}{3} \)[/tex] and [tex]\( 3 \frac{3}{8} \)[/tex], we should follow these steps:

1. Convert the mixed numbers to improper fractions:
- For [tex]\( 2 \frac{2}{3} \)[/tex]:
[tex]\[ 2 \frac{2}{3} = 2 + \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3} \][/tex]
- For [tex]\( 3 \frac{3}{8} \)[/tex]:
[tex]\[ 3 \frac{3}{8} = 3 + \frac{3}{8} = \frac{24}{8} + \frac{3}{8} = \frac{27}{8} \][/tex]

2. Multiply the improper fractions:
[tex]\[ \frac{8}{3} \times \frac{27}{8} \][/tex]

3. Simplify the product:
- First, multiply the numerators and the denominators:
[tex]\[ \frac{8 \times 27}{3 \times 8} = \frac{216}{24} \][/tex]
- Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor which is 24:
[tex]\[ \frac{216 \div 24}{24 \div 24} = \frac{9}{1} = 9 \][/tex]

Thus, the product of [tex]\( 2 \frac{2}{3} \)[/tex] and [tex]\( 3 \frac{3}{8} \)[/tex] is [tex]\(9\)[/tex]. Therefore, the best answer is:

[tex]\[ \boxed{9} \][/tex]