Evaluate: 1 (1)/(2)/(3)/(4)

Expression: $1 \frac{ 1 }{ 2 }\div\frac{ 3 }{ 4 }$

Convert the mixed number to an improper fraction

$\frac{ 3 }{ 2 }\div\frac{ 3 }{ 4 }$

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 $2$

$2$