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Find the sum or difference of the fractions
$- \dfrac{ 1 }{ 2 } + \dfrac{ 3 }{ 5 } - \dfrac{ 3 }{ 2 }$
$- \dfrac { 7 } { 5 }$
Find the sum or difference of the fractions
$- \dfrac { 1 } { \color{#FF6800}{ 2 } } + \dfrac { 3 } { \color{#FF6800}{ 5 } } - \dfrac { 3 } { \color{#FF6800}{ 2 } }$
 The smallest common multiple in denominator is $10$
$- \dfrac { 1 } { \color{#FF6800}{ 2 } } + \dfrac { 3 } { \color{#FF6800}{ 5 } } - \dfrac { 3 } { \color{#FF6800}{ 2 } }$
$- \dfrac { 1 } { 2 } + \dfrac { 3 } { 5 } - \dfrac { 3 } { 2 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$- \dfrac { 1 \times \color{#FF6800}{ 5 } } { 2 \times \color{#FF6800}{ 5 } } + \dfrac { 3 \times \color{#FF6800}{ 2 } } { 5 \times \color{#FF6800}{ 2 } } - \dfrac { 3 \times \color{#FF6800}{ 5 } } { 2 \times \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 \times 5 } { 2 \times 5 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 3 \times 2 } { 5 \times 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 \times 5 } { 2 \times 5 } }$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 10 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 6 } { 10 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 15 } { 10 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 10 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 6 } { 10 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 15 } { 10 } }$
 Since the denominator is the same as $10$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { - 5 + 6 - 15 } { 10 } }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 15 } } { 10 }$
 Calculate the sum or the difference 
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 14 } } { 10 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 14 } } { 10 }$
 Move the minus sign to the front of the fraction 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 14 } { 10 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 14 } { 10 } }$
 Reduce the fraction to the lowest term 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 7 } { 5 } }$
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