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Find the difference
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$\dfrac { 17 } { 162 }$
Find the difference
$\dfrac { 5 } { \color{#FF6800}{ 18 } } - \dfrac { 14 } { \color{#FF6800}{ 81 } }$
$ $ The smallest common multiple in denominator is $ 162$
$\dfrac { 5 } { \color{#FF6800}{ 18 } } - \dfrac { 14 } { \color{#FF6800}{ 81 } }$
$\dfrac { 5 } { 18 } - \dfrac { 14 } { 81 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 5 \times \color{#FF6800}{ 9 } } { 18 \times \color{#FF6800}{ 9 } } - \dfrac { 14 \times \color{#FF6800}{ 2 } } { 81 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 } } { \color{#FF6800}{ 18 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 14 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \color{#FF6800}{ 81 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 45 } } { \color{#FF6800}{ 162 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 28 } } { \color{#FF6800}{ 162 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 45 } } { \color{#FF6800}{ 162 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 28 } } { \color{#FF6800}{ 162 } } }$
$ $ Since the denominator is the same as $ 162 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 45 } \color{#FF6800}{ - } \color{#FF6800}{ 28 } } { \color{#FF6800}{ 162 } } }$
$\dfrac { \color{#FF6800}{ 45 } \color{#FF6800}{ - } \color{#FF6800}{ 28 } } { 162 }$
$ $ Subtract $ 28 $ from $ 45$
$\dfrac { \color{#FF6800}{ 17 } } { 162 }$
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