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Formula
Find the sum or difference of the fractions
Answer
$- \dfrac{ 5 }{ 8 } + \dfrac{ 27 }{ 2 }$
$\dfrac { 103 } { 8 }$
Find the sum or difference of the fractions
$- \dfrac { 5 } { \color{#FF6800}{ 8 } } + \dfrac { 27 } { \color{#FF6800}{ 2 } }$
 The smallest common multiple in denominator is $8$
$- \dfrac { 5 } { \color{#FF6800}{ 8 } } + \dfrac { 27 } { \color{#FF6800}{ 2 } }$
$- \dfrac { 5 } { 8 } + \dfrac { 27 } { 2 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$- \dfrac { 5 } { 8 } + \dfrac { 27 \times \color{#FF6800}{ 4 } } { 2 \times \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 8 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 27 \times 4 } { 2 \times 4 } }$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 8 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 108 } { 8 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 8 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 108 } { 8 } }$
 Since the denominator is the same as $8$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { - 5 + 108 } { 8 } }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 108 } } { 8 }$
 Add $- 5$ and $108$
$\dfrac { \color{#FF6800}{ 103 } } { 8 }$
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