Answer :

Answer: C. 7/33

Step-by-step explanation: First you have to multiply 4/11 to the reciprocal of 12/7. After that you have to simplify 28/132 to 7/33

Answer:

[tex]\frac{4}{33}[/tex].

Step-by-step explanation:

Given  : [tex]\frac{4}{11}[/tex] and [tex]\frac{12}{7}[/tex]

To find : What is the quotient.

Solution : We have given [tex]\frac{4}{11}[/tex] and [tex]\frac{12}{7}[/tex].

According to question :

Quotient of [tex]\frac{4}{11}[/tex] and [tex]\frac{12}{7}[/tex] = [tex]\frac{4}{\frac{11}{\frac{12}{7}}}[/tex].

We can write

[tex]\frac{4}{\frac{11}{\frac{12}{7}}}[/tex] = [tex]\frac{4}{11}*\frac{7}{12}[/tex].

[tex]\frac{4}{11}*\frac{7}{12}[/tex]

[tex]\frac{28}{132}[/tex].

On dividing both number by 4

[tex]\frac{4}{33}[/tex].

Therefore,  [tex]\frac{4}{33}[/tex].

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