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Formula
Find the sum of the fractions
$$\dfrac { 3 } { 4 } + \dfrac { 1 } { 6 }$$
$\dfrac { 11 } { 12 }$
Find the sum of the fractions
$\dfrac { 3 } { \color{#FF6800}{ 4 } } + \dfrac { 1 } { \color{#FF6800}{ 6 } }$
 The smallest common multiple in denominator is $12$
$\dfrac { 3 } { \color{#FF6800}{ 4 } } + \dfrac { 1 } { \color{#FF6800}{ 6 } }$
$\dfrac { 3 } { 4 } + \dfrac { 1 } { 6 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$\dfrac { 3 \times \color{#FF6800}{ 3 } } { 4 \times \color{#FF6800}{ 3 } } + \dfrac { 1 \times \color{#FF6800}{ 2 } } { 6 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } }$
 Organize the expression 
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 9 } } { \color{#FF6800}{ 12 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 12 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 9 } } { \color{#FF6800}{ 12 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 12 } } }$
 Since the denominator is the same as $12$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } { \color{#FF6800}{ 12 } } }$
$\dfrac { \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } { 12 }$
 Add $9$ and $2$
$\dfrac { \color{#FF6800}{ 11 } } { 12 }$
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