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Find the difference
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$\dfrac { 217 } { 72 }$
Find the difference
$\color{#FF6800}{ 5 \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 9 } } } - 2 \dfrac { 5 } { 24 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 47 } } { \color{#FF6800}{ 9 } } } - 2 \dfrac { 5 } { 24 }$
$\dfrac { 47 } { 9 } \color{#FF6800}{ - } \color{#FF6800}{ 2 \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 24 } } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 47 } { 9 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 53 } } { \color{#FF6800}{ 24 } } }$
$\dfrac { 47 } { \color{#FF6800}{ 9 } } - \dfrac { 53 } { \color{#FF6800}{ 24 } }$
$ $ The smallest common multiple in denominator is $ 72$
$\dfrac { 47 } { \color{#FF6800}{ 9 } } - \dfrac { 53 } { \color{#FF6800}{ 24 } }$
$\dfrac { 47 } { 9 } - \dfrac { 53 } { 24 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 47 \times \color{#FF6800}{ 8 } } { 9 \times \color{#FF6800}{ 8 } } - \dfrac { 53 \times \color{#FF6800}{ 3 } } { 24 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 47 } \color{#FF6800}{ \times } \color{#FF6800}{ 8 } } { \color{#FF6800}{ 9 } \color{#FF6800}{ \times } \color{#FF6800}{ 8 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 53 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } { \color{#FF6800}{ 24 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 376 } } { \color{#FF6800}{ 72 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 159 } } { \color{#FF6800}{ 72 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 376 } } { \color{#FF6800}{ 72 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 159 } } { \color{#FF6800}{ 72 } } }$
$ $ Since the denominator is the same as $ 72 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 376 } \color{#FF6800}{ - } \color{#FF6800}{ 159 } } { \color{#FF6800}{ 72 } } }$
$\dfrac { \color{#FF6800}{ 376 } \color{#FF6800}{ - } \color{#FF6800}{ 159 } } { 72 }$
$ $ Subtract $ 159 $ from $ 376$
$\dfrac { \color{#FF6800}{ 217 } } { 72 }$
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