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$- \dfrac { 3 } { \color{#FF6800}{ 4 } } + \dfrac { 5 } { \color{#FF6800}{ 12 } }$

$ $ The smallest common multiple in denominator is $ 12$

$- \dfrac { 3 } { \color{#FF6800}{ 4 } } + \dfrac { 5 } { \color{#FF6800}{ 12 } }$

$- \dfrac { 3 } { 4 } + \dfrac { 5 } { 12 }$

$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $

$- \dfrac { 3 \times \color{#FF6800}{ 3 } } { 4 \times \color{#FF6800}{ 3 } } + \dfrac { 5 } { 12 }$

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 \times 3 } { 4 \times 3 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 5 } { 12 } }$

$ $ Organize the expression $ $

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 } { 12 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 5 } { 12 } }$

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 } { 12 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 5 } { 12 } }$

$ $ Since the denominator is the same as $ 12 $ , combine the fractions into one $ $

$\color{#FF6800}{ \dfrac { - 9 + 5 } { 12 } }$

$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } } { 12 }$

$ $ Add $ - 9 $ and $ 5$

$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 4 } } { 12 }$

$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 4 } } { 12 }$

$ $ Move the minus sign to the front of the fraction $ $

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 12 } }$

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 4 } { 12 } }$

$ $ Reduce the fraction to the lowest term $ $

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 3 } }$