What is the product of the fractions below?

[tex]\[
\frac{1}{3} \cdot \frac{2}{7}
\][/tex]

A. [tex][tex]$\frac{1}{5}$[/tex][/tex]

B. [tex][tex]$\frac{1}{7}$[/tex][/tex]

C. [tex][tex]$\frac{2}{21}$[/tex][/tex]

D. [tex][tex]$\frac{3}{10}$[/tex][/tex]



Answer :

To find the product of the fractions [tex]\(\frac{1}{3}\)[/tex] and [tex]\(\frac{2}{7}\)[/tex], we follow these steps:

1. Multiply the numerators of the two fractions:
[tex]\[ 1 \times 2 = 2 \][/tex]

2. Multiply the denominators of the two fractions:
[tex]\[ 3 \times 7 = 21 \][/tex]

3. Write the product as a new fraction:
[tex]\[ \frac{2}{21} \][/tex]

Therefore, the product of [tex]\(\frac{1}{3}\)[/tex] and [tex]\(\frac{2}{7}\)[/tex] is [tex]\(\frac{2}{21}\)[/tex].

So, the correct answer is:
C. [tex]\(\frac{2}{21}\)[/tex]