$\color{#FF6800}{ 3 \dfrac { 1 } { 6 } } - 1 \dfrac { 5 } { 8 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { 19 } { 6 } } - 1 \dfrac { 5 } { 8 }$
$\dfrac { 19 } { 6 } \color{#FF6800}{ - } \color{#FF6800}{ 1 \dfrac { 5 } { 8 } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 19 } { 6 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 13 } { 8 } }$
$\dfrac { 19 } { \color{#FF6800}{ 6 } } - \dfrac { 13 } { \color{#FF6800}{ 8 } }$
$ $ The smallest common multiple in denominator is $ 24$
$\dfrac { 19 } { \color{#FF6800}{ 6 } } - \dfrac { 13 } { \color{#FF6800}{ 8 } }$
$\dfrac { 19 } { 6 } - \dfrac { 13 } { 8 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 19 \times \color{#FF6800}{ 4 } } { 6 \times \color{#FF6800}{ 4 } } - \dfrac { 13 \times \color{#FF6800}{ 3 } } { 8 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 19 \times 4 } { 6 \times 4 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 13 \times 3 } { 8 \times 3 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 76 } { 24 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 39 } { 24 } }$
$\color{#FF6800}{ \dfrac { 76 } { 24 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 39 } { 24 } }$
$ $ Since the denominator is the same as $ 24 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 76 - 39 } { 24 } }$
$\dfrac { \color{#FF6800}{ 76 } \color{#FF6800}{ - } \color{#FF6800}{ 39 } } { 24 }$
$ $ Subtract $ 39 $ from $ 76$
$\dfrac { \color{#FF6800}{ 37 } } { 24 }$