Verified Answer :

1 times something is the same number

so

\(\frac{6}{ \frac{3}{4} }\)


make bottom 1
3/4 times 4/3=12/12=1 so

times wole thing by
\(\frac{\frac{4}{3}}{ \frac{4}{3} }\)

result
\(\frac{(6)(\frac{4}{3})}{(\frac{3}{4})(\frac{4}{3}) }\)=
\(\frac{\frac{24}{3}}{\frac{12}{12} }\)=
\(\frac{8}{1 }\)=8

basically
a/b divided by c/d=a/b times d/c, invert and multiply