1 times something is the same number
so
[tex] \frac{6}{ \frac{3}{4} } [/tex]
make bottom 1
3/4 times 4/3=12/12=1 so
times wole thing by
[tex] \frac{\frac{4}{3}}{ \frac{4}{3} } [/tex]
result
[tex] \frac{(6)(\frac{4}{3})}{(\frac{3}{4})(\frac{4}{3}) } [/tex]=
[tex] \frac{\frac{24}{3}}{\frac{12}{12} } [/tex]=
[tex] \frac{8}{1 } [/tex]=8
basically
a/b divided by c/d=a/b times d/c, invert and multiply