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Find the difference
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$\dfrac { 11 } { 8 }$
Find the difference
$\color{#FF6800}{ 2 \dfrac { \color{#FF6800}{ 7 } } { \color{#FF6800}{ 8 } } } - 1 \dfrac { 1 } { 2 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } } { \color{#FF6800}{ 8 } } } - 1 \dfrac { 1 } { 2 }$
$\dfrac { 23 } { 8 } \color{#FF6800}{ - } \color{#FF6800}{ 1 \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 23 } { 8 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } } }$
$\dfrac { 23 } { \color{#FF6800}{ 8 } } - \dfrac { 3 } { \color{#FF6800}{ 2 } }$
$ $ The smallest common multiple in denominator is $ 8$
$\dfrac { 23 } { \color{#FF6800}{ 8 } } - \dfrac { 3 } { \color{#FF6800}{ 2 } }$
$\dfrac { 23 } { 8 } - \dfrac { 3 } { 2 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 23 } { 8 } - \dfrac { 3 \times \color{#FF6800}{ 4 } } { 2 \times \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } } { \color{#FF6800}{ 8 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } } { \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } } { \color{#FF6800}{ 8 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 12 } } { \color{#FF6800}{ 8 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } } { \color{#FF6800}{ 8 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 12 } } { \color{#FF6800}{ 8 } } }$
$ $ Since the denominator is the same as $ 8 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } } { \color{#FF6800}{ 8 } } }$
$\dfrac { \color{#FF6800}{ 23 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } } { 8 }$
$ $ Subtract $ 12 $ from $ 23$
$\dfrac { \color{#FF6800}{ 11 } } { 8 }$
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