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Find the difference
Answer
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$\dfrac{ 3 }{ 4 } - \dfrac{ 5 }{ 16 }$
$\dfrac { 7 } { 16 }$
Find the difference
$\dfrac { 3 } { \color{#FF6800}{ 4 } } - \dfrac { 5 } { \color{#FF6800}{ 16 } }$
$ $ The smallest common multiple in denominator is $ 16$
$\dfrac { 3 } { \color{#FF6800}{ 4 } } - \dfrac { 5 } { \color{#FF6800}{ 16 } }$
$\dfrac { 3 } { 4 } - \dfrac { 5 } { 16 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 3 \times \color{#FF6800}{ 4 } } { 4 \times \color{#FF6800}{ 4 } } - \dfrac { 5 } { 16 }$
$\color{#FF6800}{ \dfrac { 3 \times 4 } { 4 \times 4 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 16 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 12 } { 16 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 16 } }$
$\color{#FF6800}{ \dfrac { 12 } { 16 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 16 } }$
$ $ Since the denominator is the same as $ 16 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 12 - 5 } { 16 } }$
$\dfrac { \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } } { 16 }$
$ $ Subtract $ 5 $ from $ 12$
$\dfrac { \color{#FF6800}{ 7 } } { 16 }$
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