Question 1 of 10:
What is the product of the fractions below?

[tex]\[
\frac{6}{11} \cdot \frac{7}{3}
\][/tex]

A. [tex]\(\frac{13}{33}\)[/tex]

B. [tex]\(\frac{13}{14}\)[/tex]

C. [tex]\(\frac{14}{33}\)[/tex]

D. [tex]\(\frac{14}{11}\)[/tex]



Answer :

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.