# Solve for: 10 (4)/(9)/2 (4)/(7)

## Expression: $10 \frac{ 4 }{ 9 }\div2 \frac{ 4 }{ 7 }$

Convert the mixed number to an improper fraction

$\frac{ 94 }{ 9 }\div2 \frac{ 4 }{ 7 }$

Convert the mixed number to an improper fraction

$\frac{ 94 }{ 9 }\div\frac{ 18 }{ 7 }$

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

$\frac{ 94 }{ 9 } \times \frac{ 7 }{ 18 }$

Cancel out the greatest common factor $2$

$\frac{ 47 }{ 9 } \times \frac{ 7 }{ 9 }$

Multiply the fractions

\begin{align*}&\frac{ 329 }{ 81 } \\&\begin{array} { l }4 \frac{ 5 }{ 81 },& 4.\overset{ \cdot }{ 0 } 6172839\overset{ \cdot }{ 5 } \end{array}\end{align*}

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