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Formula
Find the sum of the fractions
$\dfrac{ 2 }{ 3 } + \dfrac{ 4 }{ 7 }$
$\dfrac { 26 } { 21 }$
Find the sum of the fractions
$\dfrac { 2 } { \color{#FF6800}{ 3 } } + \dfrac { 4 } { \color{#FF6800}{ 7 } }$
 The smallest common multiple in denominator is $21$
$\dfrac { 2 } { \color{#FF6800}{ 3 } } + \dfrac { 4 } { \color{#FF6800}{ 7 } }$
$\dfrac { 2 } { 3 } + \dfrac { 4 } { 7 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$\dfrac { 2 \times \color{#FF6800}{ 7 } } { 3 \times \color{#FF6800}{ 7 } } + \dfrac { 4 \times \color{#FF6800}{ 3 } } { 7 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 2 \times 7 } { 3 \times 7 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 4 \times 3 } { 7 \times 3 } }$
 Organize the expression 
$\color{#FF6800}{ \dfrac { 14 } { 21 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 12 } { 21 } }$
$\color{#FF6800}{ \dfrac { 14 } { 21 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 12 } { 21 } }$
 Since the denominator is the same as $21$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { 14 + 12 } { 21 } }$
$\dfrac { \color{#FF6800}{ 14 } \color{#FF6800}{ + } \color{#FF6800}{ 12 } } { 21 }$
 Add $14$ and $12$
$\dfrac { \color{#FF6800}{ 26 } } { 21 }$
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