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Find the difference
Answer
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$\dfrac { 97 } { 48 }$
Find the difference
$\color{#FF6800}{ 2 \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 16 } } } - \dfrac { 7 } { 24 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 37 } } { \color{#FF6800}{ 16 } } } - \dfrac { 7 } { 24 }$
$\dfrac { 37 } { \color{#FF6800}{ 16 } } - \dfrac { 7 } { \color{#FF6800}{ 24 } }$
$ $ The smallest common multiple in denominator is $ 48$
$\dfrac { 37 } { \color{#FF6800}{ 16 } } - \dfrac { 7 } { \color{#FF6800}{ 24 } }$
$\dfrac { 37 } { 16 } - \dfrac { 7 } { 24 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 37 \times \color{#FF6800}{ 3 } } { 16 \times \color{#FF6800}{ 3 } } - \dfrac { 7 \times \color{#FF6800}{ 2 } } { 24 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 37 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } { \color{#FF6800}{ 16 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 7 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \color{#FF6800}{ 24 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 111 } } { \color{#FF6800}{ 48 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 14 } } { \color{#FF6800}{ 48 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 111 } } { \color{#FF6800}{ 48 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 14 } } { \color{#FF6800}{ 48 } } }$
$ $ Since the denominator is the same as $ 48 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 111 } \color{#FF6800}{ - } \color{#FF6800}{ 14 } } { \color{#FF6800}{ 48 } } }$
$\dfrac { \color{#FF6800}{ 111 } \color{#FF6800}{ - } \color{#FF6800}{ 14 } } { 48 }$
$ $ Subtract $ 14 $ from $ 111$
$\dfrac { \color{#FF6800}{ 97 } } { 48 }$
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