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Formula
Find the sum of the fractions
$\dfrac{ 3 }{ 2 } + \dfrac{ 5 }{ 6 } =$
$\dfrac { 7 } { 3 }$
Find the sum of the fractions
$\dfrac { 3 } { \color{#FF6800}{ 2 } } + \dfrac { 5 } { \color{#FF6800}{ 6 } }$
 The smallest common multiple in denominator is $6$
$\dfrac { 3 } { \color{#FF6800}{ 2 } } + \dfrac { 5 } { \color{#FF6800}{ 6 } }$
$\dfrac { 3 } { 2 } + \dfrac { 5 } { 6 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$\dfrac { 3 \times \color{#FF6800}{ 3 } } { 2 \times \color{#FF6800}{ 3 } } + \dfrac { 5 } { 6 }$
$\color{#FF6800}{ \dfrac { 3 \times 3 } { 2 \times 3 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 5 } { 6 } }$
 Organize the expression 
$\color{#FF6800}{ \dfrac { 9 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 5 } { 6 } }$
$\color{#FF6800}{ \dfrac { 9 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 5 } { 6 } }$
 Since the denominator is the same as $6$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { 9 + 5 } { 6 } }$
$\dfrac { \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } } { 6 }$
 Add $9$ and $5$
$\dfrac { \color{#FF6800}{ 14 } } { 6 }$
$\color{#FF6800}{ \dfrac { 14 } { 6 } }$
 Reduce the fraction to the lowest term 
$\color{#FF6800}{ \dfrac { 7 } { 3 } }$
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