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Find the difference
Answer
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$3 \dfrac{ 5 }{ 12 } - \dfrac{ 3 }{ 8 }$
$\dfrac { 73 } { 24 }$
Find the difference
$\color{#FF6800}{ 3 \dfrac { 5 } { 12 } } - \dfrac { 3 } { 8 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { 41 } { 12 } } - \dfrac { 3 } { 8 }$
$\dfrac { 41 } { \color{#FF6800}{ 12 } } - \dfrac { 3 } { \color{#FF6800}{ 8 } }$
$ $ The smallest common multiple in denominator is $ 24$
$\dfrac { 41 } { \color{#FF6800}{ 12 } } - \dfrac { 3 } { \color{#FF6800}{ 8 } }$
$\dfrac { 41 } { 12 } - \dfrac { 3 } { 8 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 41 \times \color{#FF6800}{ 2 } } { 12 \times \color{#FF6800}{ 2 } } - \dfrac { 3 \times \color{#FF6800}{ 3 } } { 8 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 41 \times 2 } { 12 \times 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 \times 3 } { 8 \times 3 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 82 } { 24 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 } { 24 } }$
$\color{#FF6800}{ \dfrac { 82 } { 24 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 } { 24 } }$
$ $ Since the denominator is the same as $ 24 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 82 - 9 } { 24 } }$
$\dfrac { \color{#FF6800}{ 82 } \color{#FF6800}{ - } \color{#FF6800}{ 9 } } { 24 }$
$ $ Subtract $ 9 $ from $ 82$
$\dfrac { \color{#FF6800}{ 73 } } { 24 }$
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