Answer:
5/6
Step-by-step explanation:
the reciprocal of any fraction is the fraction flipped
For this case, we have by definition, the reciprocal of a fraction of the form [tex]\frac {a} {b}[/tex] is given by:
[tex]\frac {1} {\frac {a} {b}} = \frac {b} {a}[/tex]
To check we have:
[tex]\frac {a * b} {b * a} = 1[/tex]
So, we look for the reciprocal of [tex]\frac {6} {5}[/tex]
[tex]\frac {1} {\frac {6} {5}} = \frac {5} {6}[/tex]
Answer:
[tex]\frac {5} {6}[/tex]