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$\left( \dfrac{ 1 }{ 2 } x- \dfrac{ 2 }{ 3 } y \right) - \left( \dfrac{ 3 }{ 4 } x- \dfrac{ 1 }{ 6 } y \right)$
$- \dfrac { x + 2 y } { 4 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 3 } } \color{#FF6800}{ y } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ \dfrac { 3 } { 4 } } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 6 } } \color{#FF6800}{ y } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 3 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ \dfrac { 3 } { 4 } } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 6 } } \color{#FF6800}{ y } \right )$
$\color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ x } - \dfrac { 2 } { 3 } y - \left ( \dfrac { 3 } { 4 } x - \dfrac { 1 } { 6 } y \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { x } { 2 } } - \dfrac { 2 } { 3 } y - \left ( \dfrac { 3 } { 4 } x - \dfrac { 1 } { 6 } y \right )$
$\dfrac { x } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 3 } } \color{#FF6800}{ y } - \left ( \dfrac { 3 } { 4 } x - \dfrac { 1 } { 6 } y \right )$
$ $ Calculate the multiplication expression $ $
$\dfrac { x } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 y } { 3 } } - \left ( \dfrac { 3 } { 4 } x - \dfrac { 1 } { 6 } y \right )$
$\dfrac { x } { 2 } - \dfrac { 2 y } { 3 } - \left ( \color{#FF6800}{ \dfrac { 3 } { 4 } } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 6 } } \color{#FF6800}{ y } \right )$
$ $ Calculate the expression as a fraction format $ $
$\dfrac { x } { 2 } - \dfrac { 2 y } { 3 } - \color{#FF6800}{ \dfrac { 9 x - 2 y } { 12 } }$
$\color{#FF6800}{ \dfrac { x } { 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 y } { 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 x - 2 y } { 12 } }$
$ $ Calculate the expression as a fraction format $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { x + 2 y } { 4 } }$
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