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Find the difference
$\left( + \dfrac{ 1 }{ 2 } \right) + \left( - \dfrac{ 2 }{ 3 } \right) =$
$- \dfrac { 1 } { 6 }$
Find the difference
$\dfrac { 1 } { \color{#FF6800}{ 2 } } - \dfrac { 2 } { \color{#FF6800}{ 3 } }$
 The smallest common multiple in denominator is $6$
$\dfrac { 1 } { \color{#FF6800}{ 2 } } - \dfrac { 2 } { \color{#FF6800}{ 3 } }$
$\dfrac { 1 } { 2 } - \dfrac { 2 } { 3 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$\dfrac { 1 \times \color{#FF6800}{ 3 } } { 2 \times \color{#FF6800}{ 3 } } - \dfrac { 2 \times \color{#FF6800}{ 2 } } { 3 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { 1 \times 3 } { 2 \times 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 \times 2 } { 3 \times 2 } }$
 Organize the expression 
$\color{#FF6800}{ \dfrac { 3 } { 6 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 6 } }$
$\color{#FF6800}{ \dfrac { 3 } { 6 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 6 } }$
 Since the denominator is the same as $6$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { 3 - 4 } { 6 } }$
$\dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } } { 6 }$
 Subtract $4$ from $3$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } { 6 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } { 6 }$
 Move the minus sign to the front of the fraction 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 6 } }$
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