To determine the reciprocal of a given fraction, you simply swap the numerator and the denominator.
Given the fraction:
[tex]\[\frac{6}{5}\][/tex]
To find its reciprocal, flip the numerator and the denominator:
[tex]\[\frac{5}{6}\][/tex]
Thus, the reciprocal of [tex]\(\frac{6}{5}\)[/tex] is [tex]\(\frac{5}{6}\)[/tex].
So the correct option is:
C. [tex]\(\frac{5}{6}\)[/tex]
