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$\dfrac { 5 } { \color{#FF6800}{ 9 } } - \dfrac { 1 } { \color{#FF6800}{ 6 } }$

$ $ The smallest common multiple in denominator is $ 18$

$\dfrac { 5 } { \color{#FF6800}{ 9 } } - \dfrac { 1 } { \color{#FF6800}{ 6 } }$

$\dfrac { 5 } { 9 } - \dfrac { 1 } { 6 }$

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

$\dfrac { 5 \times \color{#FF6800}{ 2 } } { 9 \times \color{#FF6800}{ 2 } } - \dfrac { 1 \times \color{#FF6800}{ 3 } } { 6 \times \color{#FF6800}{ 3 } }$

$\color{#FF6800}{ \dfrac { 5 \times 2 } { 9 \times 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 \times 3 } { 6 \times 3 } }$

$ $ Organize the expression $ $

$\color{#FF6800}{ \dfrac { 10 } { 18 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 } { 18 } }$

$\color{#FF6800}{ \dfrac { 10 } { 18 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 } { 18 } }$

$ $ Since the denominator is the same as $ 18 $ , combine the fractions into one $ $

$\color{#FF6800}{ \dfrac { 10 - 3 } { 18 } }$

$\dfrac { \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } } { 18 }$

$ $ Subtract $ 3 $ from $ 10$

$\dfrac { \color{#FF6800}{ 7 } } { 18 }$