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