First lets write it out, then change it to a mixed number, than change it. lets do it:
[tex]6 \frac{3}{4} [/tex]
Now lets convert it to a mixed number:-
6 × 4 = 24
24 + 3 = 27
[tex]6 \frac{3}{4} [/tex] as an improper fraction is [tex] \frac{27}{4} [/tex].
Now we have to inverse this:-
[tex] \frac{4}{27} [/tex]
So, the reciprocal of [tex]6 \frac{3}{4} [/tex] is [tex] \frac{4}{27} [/tex]
Hope I helped ya!! xD
