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Find the difference
Answer
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$\dfrac { 27 } { 16 }$
Find the difference
$\color{#FF6800}{ 4 \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 8 } } } - 2 \dfrac { 11 } { 16 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 35 } } { \color{#FF6800}{ 8 } } } - 2 \dfrac { 11 } { 16 }$
$\dfrac { 35 } { 8 } \color{#FF6800}{ - } \color{#FF6800}{ 2 \dfrac { \color{#FF6800}{ 11 } } { \color{#FF6800}{ 16 } } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 35 } { 8 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 43 } } { \color{#FF6800}{ 16 } } }$
$\dfrac { 35 } { \color{#FF6800}{ 8 } } - \dfrac { 43 } { \color{#FF6800}{ 16 } }$
$ $ The smallest common multiple in denominator is $ 16$
$\dfrac { 35 } { \color{#FF6800}{ 8 } } - \dfrac { 43 } { \color{#FF6800}{ 16 } }$
$\dfrac { 35 } { 8 } - \dfrac { 43 } { 16 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 35 \times \color{#FF6800}{ 2 } } { 8 \times \color{#FF6800}{ 2 } } - \dfrac { 43 } { 16 }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 35 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 43 } } { \color{#FF6800}{ 16 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 70 } } { \color{#FF6800}{ 16 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 43 } } { \color{#FF6800}{ 16 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 70 } } { \color{#FF6800}{ 16 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 43 } } { \color{#FF6800}{ 16 } } }$
$ $ Since the denominator is the same as $ 16 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 70 } \color{#FF6800}{ - } \color{#FF6800}{ 43 } } { \color{#FF6800}{ 16 } } }$
$\dfrac { \color{#FF6800}{ 70 } \color{#FF6800}{ - } \color{#FF6800}{ 43 } } { 16 }$
$ $ Subtract $ 43 $ from $ 70$
$\dfrac { \color{#FF6800}{ 27 } } { 16 }$
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