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$\dfrac { x + 13 y } { 6 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ y } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 6 } } } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ y } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 6 } } } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ y } \right )$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ x } + \dfrac { 3 } { 2 } y - \left ( \dfrac { 1 } { 6 } x - \dfrac { 2 } { 3 } y \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 3 } } } + \dfrac { 3 } { 2 } y - \left ( \dfrac { 1 } { 6 } x - \dfrac { 2 } { 3 } y \right )$
$\dfrac { x } { 3 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ y } - \left ( \dfrac { 1 } { 6 } x - \dfrac { 2 } { 3 } y \right )$
$ $ Calculate the multiplication expression $ $
$\dfrac { x } { 3 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ y } } { \color{#FF6800}{ 2 } } } - \left ( \dfrac { 1 } { 6 } x - \dfrac { 2 } { 3 } y \right )$
$\dfrac { x } { 3 } + \dfrac { 3 y } { 2 } - \left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 6 } } } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ y } \right )$
$ $ Calculate the expression as a fraction format $ $
$\dfrac { x } { 3 } + \dfrac { 3 y } { 2 } - \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } } { \color{#FF6800}{ 6 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ y } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } } { \color{#FF6800}{ 6 } } }$
$ $ Calculate the expression as a fraction format $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 13 } \color{#FF6800}{ y } } { \color{#FF6800}{ 6 } } }$
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