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Find the difference
Answer
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$4 \dfrac{ 1 }{ 4 } - \dfrac{ 1 }{ 6 }$
$\dfrac { 49 } { 12 }$
Find the difference
$\color{#FF6800}{ 4 \dfrac { 1 } { 4 } } - \dfrac { 1 } { 6 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { 17 } { 4 } } - \dfrac { 1 } { 6 }$
$\dfrac { 17 } { \color{#FF6800}{ 4 } } - \dfrac { 1 } { \color{#FF6800}{ 6 } }$
$ $ The smallest common multiple in denominator is $ 12$
$\dfrac { 17 } { \color{#FF6800}{ 4 } } - \dfrac { 1 } { \color{#FF6800}{ 6 } }$
$\dfrac { 17 } { 4 } - \dfrac { 1 } { 6 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 17 \times \color{#FF6800}{ 3 } } { 4 \times \color{#FF6800}{ 3 } } - \dfrac { 1 \times \color{#FF6800}{ 2 } } { 6 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { 17 \times 3 } { 4 \times 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 \times 2 } { 6 \times 2 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 51 } { 12 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 12 } }$
$\color{#FF6800}{ \dfrac { 51 } { 12 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 12 } }$
$ $ Since the denominator is the same as $ 12 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 51 - 2 } { 12 } }$
$\dfrac { \color{#FF6800}{ 51 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } } { 12 }$
$ $ Subtract $ 2 $ from $ 51$
$\dfrac { \color{#FF6800}{ 49 } } { 12 }$
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