Evaluate: (71)/(72)/(21)/(80)

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Expression: $\frac{ 71 }{ 72 }\div\frac{ 21 }{ 80 }$

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

$\frac{ 71 }{ 72 } \times \frac{ 80 }{ 21 }$

Cancel out the greatest common factor $8$

$\frac{ 71 }{ 9 } \times \frac{ 10 }{ 21 }$

Multiply the fractions

$\begin{align*}&\frac{ 710 }{ 189 } \\&\begin{array} { l }3 \frac{ 143 }{ 189 },& 3.\overset{ \cdot }{ 7 } 5661\overset{ \cdot }{ 3 } \end{array}\end{align*}$

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