Solve for: 1 (2)/(9)\div(3)/(4)

Expression: $1 \frac{ 2 }{ 9 }\div\frac{ 3 }{ 4 }$

Convert the mixed number to an improper fraction

$\frac{ 11 }{ 9 }\div\frac{ 3 }{ 4 }$

To divide by a fraction, multiply by the reciprocal of that fraction

$\frac{ 11 }{ 9 } \times \frac{ 4 }{ 3 }$

Multiply the fractions

\begin{align*}&\frac{ 44 }{ 27 } \\&\begin{array} { l }1 \frac{ 17 }{ 27 },& 1.\overset{ \cdot }{ 6 } 2\overset{ \cdot }{ 9 } \end{array}\end{align*}

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