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Find the sum or difference of the fractions
$\left( - \dfrac{ 5 }{ 4 } \right) + \left( + \dfrac{ 2 }{ 3 } \right)$
$- \dfrac { 7 } { 12 }$
Find the sum or difference of the fractions
$- \dfrac { 5 } { \color{#FF6800}{ 4 } } + \dfrac { 2 } { \color{#FF6800}{ 3 } }$
 The smallest common multiple in denominator is $12$
$- \dfrac { 5 } { \color{#FF6800}{ 4 } } + \dfrac { 2 } { \color{#FF6800}{ 3 } }$
$- \dfrac { 5 } { 4 } + \dfrac { 2 } { 3 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$- \dfrac { 5 \times \color{#FF6800}{ 3 } } { 4 \times \color{#FF6800}{ 3 } } + \dfrac { 2 \times \color{#FF6800}{ 4 } } { 3 \times \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 \times 3 } { 4 \times 3 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 2 \times 4 } { 3 \times 4 } }$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 15 } { 12 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 8 } { 12 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 15 } { 12 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 8 } { 12 } }$
 Since the denominator is the same as $12$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { - 15 + 8 } { 12 } }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 15 } \color{#FF6800}{ + } \color{#FF6800}{ 8 } } { 12 }$
 Add $- 15$ and $8$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 7 } } { 12 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 7 } } { 12 }$
 Move the minus sign to the front of the fraction 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 7 } { 12 } }$
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