$\frac{ 3 }{ 2 }\div\frac{ 3 }{ 4 }$
To divide by a fraction, multiply by the reciprocal of that fraction$\frac{ 3 }{ 2 } \times \frac{ 4 }{ 3 }$
Cancel out the greatest common factor $3$$\frac{ 1 }{ 2 } \times 4$
Cancel out the greatest common factor $2$$2$