To find the product of the fractions [tex]\(\frac{6}{11}\)[/tex] and [tex]\(\frac{7}{3}\)[/tex], follow these steps:
1. Multiply the numerators:
Multiply the numerator of the first fraction (6) by the numerator of the second fraction (7).
[tex]\[
6 \cdot 7 = 42
\][/tex]
So, the numerator of the product is 42.
2. Multiply the denominators:
Multiply the denominator of the first fraction (11) by the denominator of the second fraction (3).
[tex]\[
11 \cdot 3 = 33
\][/tex]
So, the denominator of the product is 33.
3. Write the fraction with the new numerator and denominator:
[tex]\[
\frac{42}{33}
\][/tex]
So, the product of [tex]\(\frac{6}{11}\)[/tex] and [tex]\(\frac{7}{3}\)[/tex] is [tex]\(\frac{42}{33}\)[/tex].
Now, check which of the provided options match this fraction:
A. [tex]\(\frac{13}{33}\)[/tex]
B. [tex]\(\frac{13}{14}\)[/tex]
C. [tex]\(\frac{14}{33}\)[/tex]
D. [tex]\(\frac{14}{11}\)[/tex]
None of the provided options match the fraction [tex]\(\frac{42}{33}\)[/tex], which indicates that the product of the fractions is not listed among the provided choices. Therefore, there appears to be an error or oversight in the provided answer options.
