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$\dfrac { 20 a - 9 b } { 12 }$
Arrange the rational expression
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ b } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } } } \color{#FF6800}{ b } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ b } \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } } } \color{#FF6800}{ b } \right )$
$a \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ b } - \left ( - \dfrac { 2 } { 3 } a + \dfrac { 1 } { 4 } b \right )$
$ $ Calculate the multiplication expression $ $
$a \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ b } } { \color{#FF6800}{ 2 } } } - \left ( - \dfrac { 2 } { 3 } a + \dfrac { 1 } { 4 } b \right )$
$a - \dfrac { b } { 2 } - \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 4 } } } \color{#FF6800}{ b } \right )$
$ $ Calculate the expression as a fraction format $ $
$a - \dfrac { b } { 2 } - \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 8 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } } { \color{#FF6800}{ 12 } } } \right )$
$a - \dfrac { b } { 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \dfrac { 8 a - 3 b } { 12 } \right )$
$ $ Simplify Minus $ $
$a - \dfrac { b } { 2 } + \dfrac { 8 a - 3 b } { 12 }$
$\color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ b } } { \color{#FF6800}{ 2 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 8 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } } { \color{#FF6800}{ 12 } } }$
$ $ Calculate the expression as a fraction format $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 20 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ b } } { \color{#FF6800}{ 12 } } }$
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