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Find the difference
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$\dfrac { 38 } { 15 }$
Find the difference
$\color{#FF6800}{ 4 \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 6 } } } - 2 \dfrac { 3 } { 10 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 29 } } { \color{#FF6800}{ 6 } } } - 2 \dfrac { 3 } { 10 }$
$\dfrac { 29 } { 6 } \color{#FF6800}{ - } \color{#FF6800}{ 2 \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 10 } } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 29 } { 6 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } } { \color{#FF6800}{ 10 } } }$
$\dfrac { 29 } { \color{#FF6800}{ 6 } } - \dfrac { 23 } { \color{#FF6800}{ 10 } }$
$ $ The smallest common multiple in denominator is $ 30$
$\dfrac { 29 } { \color{#FF6800}{ 6 } } - \dfrac { 23 } { \color{#FF6800}{ 10 } }$
$\dfrac { 29 } { 6 } - \dfrac { 23 } { 10 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 29 \times \color{#FF6800}{ 5 } } { 6 \times \color{#FF6800}{ 5 } } - \dfrac { 23 \times \color{#FF6800}{ 3 } } { 10 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 29 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } } { \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } { \color{#FF6800}{ 10 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 145 } } { \color{#FF6800}{ 30 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 69 } } { \color{#FF6800}{ 30 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 145 } } { \color{#FF6800}{ 30 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 69 } } { \color{#FF6800}{ 30 } } }$
$ $ Since the denominator is the same as $ 30 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 145 } \color{#FF6800}{ - } \color{#FF6800}{ 69 } } { \color{#FF6800}{ 30 } } }$
$\dfrac { \color{#FF6800}{ 145 } \color{#FF6800}{ - } \color{#FF6800}{ 69 } } { 30 }$
$ $ Subtract $ 69 $ from $ 145$
$\dfrac { \color{#FF6800}{ 76 } } { 30 }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 76 } } { \color{#FF6800}{ 30 } } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 38 } } { \color{#FF6800}{ 15 } } }$
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