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$\color{#FF6800}{ 2 \dfrac { 7 } { 8 } } - 1 \dfrac { 1 } { 12 }$

$ $ Convert mixed number into improper fraction $ $

$\color{#FF6800}{ \dfrac { 23 } { 8 } } - 1 \dfrac { 1 } { 12 }$

$\dfrac { 23 } { 8 } \color{#FF6800}{ - } \color{#FF6800}{ 1 \dfrac { 1 } { 12 } }$

$ $ Convert mixed number into improper fraction $ $

$\dfrac { 23 } { 8 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 13 } { 12 } }$

$\dfrac { 23 } { \color{#FF6800}{ 8 } } - \dfrac { 13 } { \color{#FF6800}{ 12 } }$

$ $ The smallest common multiple in denominator is $ 24$

$\dfrac { 23 } { \color{#FF6800}{ 8 } } - \dfrac { 13 } { \color{#FF6800}{ 12 } }$

$\dfrac { 23 } { 8 } - \dfrac { 13 } { 12 }$

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

$\dfrac { 23 \times \color{#FF6800}{ 3 } } { 8 \times \color{#FF6800}{ 3 } } - \dfrac { 13 \times \color{#FF6800}{ 2 } } { 12 \times \color{#FF6800}{ 2 } }$

$\color{#FF6800}{ \dfrac { 23 \times 3 } { 8 \times 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 13 \times 2 } { 12 \times 2 } }$

$ $ Organize the expression $ $

$\color{#FF6800}{ \dfrac { 69 } { 24 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 26 } { 24 } }$

$\color{#FF6800}{ \dfrac { 69 } { 24 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 26 } { 24 } }$

$ $ Since the denominator is the same as $ 24 $ , combine the fractions into one $ $

$\color{#FF6800}{ \dfrac { 69 - 26 } { 24 } }$

$\dfrac { \color{#FF6800}{ 69 } \color{#FF6800}{ - } \color{#FF6800}{ 26 } } { 24 }$

$ $ Subtract $ 26 $ from $ 69$

$\dfrac { \color{#FF6800}{ 43 } } { 24 }$