( 4 1/3 ) / ( 5 1/6 ) = ?
\(\begin{array}{rcl} \frac{ ( 4 \frac13 ) }{ ( 5 \frac16 ) }\\ &=& \frac{ \frac{13}{3} }{ \frac{31}{6} }\\ &=& \frac{13}{3} \cdot \frac{6}{31} \\ &=& \frac{13}{3} \cdot \frac{2\cdot 3}{31} \\ &=& 13 \cdot \frac{2}{31} \\ &=& \frac{26}{31} \\ &=& 0.83870967742\\ \mathbf{\frac{ ( 4 \frac13 ) }{ ( 5 \frac16 ) } }& \mathbf{=} & \mathbf{0.83870967742}\\ \end{array}\)
( 4 1/3 ) / ( 5 1/6 ) = ?
\(\begin{array}{rcl} \frac{ ( 4 \frac13 ) }{ ( 5 \frac16 ) }\\ &=& \frac{ \frac{13}{3} }{ \frac{31}{6} }\\ &=& \frac{13}{3} \cdot \frac{6}{31} \\ &=& \frac{13}{3} \cdot \frac{2\cdot 3}{31} \\ &=& 13 \cdot \frac{2}{31} \\ &=& \frac{26}{31} \\ &=& 0.83870967742\\ \mathbf{\frac{ ( 4 \frac13 ) }{ ( 5 \frac16 ) } }& \mathbf{=} & \mathbf{0.83870967742}\\ \end{array}\)