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Find the difference
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$\dfrac { 43 } { 24 }$
Find the difference
$\color{#FF6800}{ 2 \dfrac { \color{#FF6800}{ 7 } } { \color{#FF6800}{ 8 } } } - 1 \dfrac { 1 } { 12 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } } { \color{#FF6800}{ 8 } } } - 1 \dfrac { 1 } { 12 }$
$\dfrac { 23 } { 8 } \color{#FF6800}{ - } \color{#FF6800}{ 1 \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 12 } } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 23 } { 8 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 13 } } { \color{#FF6800}{ 12 } } }$
$\dfrac { 23 } { \color{#FF6800}{ 8 } } - \dfrac { 13 } { \color{#FF6800}{ 12 } }$
$ $ 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 $ $
$\dfrac { 23 \times \color{#FF6800}{ 3 } } { 8 \times \color{#FF6800}{ 3 } } - \dfrac { 13 \times \color{#FF6800}{ 2 } } { 12 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } { \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 13 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \color{#FF6800}{ 12 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 69 } } { \color{#FF6800}{ 24 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 26 } } { \color{#FF6800}{ 24 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 69 } } { \color{#FF6800}{ 24 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 26 } } { \color{#FF6800}{ 24 } } }$
$ $ Since the denominator is the same as $ 24 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 69 } \color{#FF6800}{ - } \color{#FF6800}{ 26 } } { \color{#FF6800}{ 24 } } }$
$\dfrac { \color{#FF6800}{ 69 } \color{#FF6800}{ - } \color{#FF6800}{ 26 } } { 24 }$
$ $ Subtract $ 26 $ from $ 69$
$\dfrac { \color{#FF6800}{ 43 } } { 24 }$
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