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Find the difference
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$\dfrac { 1 } { 35 }$
Find the difference
$\dfrac { 3 } { \color{#FF6800}{ 5 } } - \dfrac { 4 } { \color{#FF6800}{ 7 } }$
$ $ The smallest common multiple in denominator is $ 35$
$\dfrac { 3 } { \color{#FF6800}{ 5 } } - \dfrac { 4 } { \color{#FF6800}{ 7 } }$
$\dfrac { 3 } { 5 } - \dfrac { 4 } { 7 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 3 \times \color{#FF6800}{ 7 } } { 5 \times \color{#FF6800}{ 7 } } - \dfrac { 4 \times \color{#FF6800}{ 5 } } { 7 \times \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } } { \color{#FF6800}{ 5 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } } { \color{#FF6800}{ 7 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 21 } } { \color{#FF6800}{ 35 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 20 } } { \color{#FF6800}{ 35 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 21 } } { \color{#FF6800}{ 35 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 20 } } { \color{#FF6800}{ 35 } } }$
$ $ Since the denominator is the same as $ 35 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 21 } \color{#FF6800}{ - } \color{#FF6800}{ 20 } } { \color{#FF6800}{ 35 } } }$
$\dfrac { \color{#FF6800}{ 21 } \color{#FF6800}{ - } \color{#FF6800}{ 20 } } { 35 }$
$ $ Subtract $ 20 $ from $ 21$
$\dfrac { \color{#FF6800}{ 1 } } { 35 }$
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