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]
