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Formula
Find the difference
Answer
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$\dfrac{ 11 }{ 14 } - \dfrac{ 8 }{ 21 }$
$\dfrac { 17 } { 42 }$
Find the difference
$\dfrac { 11 } { \color{#FF6800}{ 14 } } - \dfrac { 8 } { \color{#FF6800}{ 21 } }$
$ $ The smallest common multiple in denominator is $ 42$
$\dfrac { 11 } { \color{#FF6800}{ 14 } } - \dfrac { 8 } { \color{#FF6800}{ 21 } }$
$\dfrac { 11 } { 14 } - \dfrac { 8 } { 21 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 11 \times \color{#FF6800}{ 3 } } { 14 \times \color{#FF6800}{ 3 } } - \dfrac { 8 \times \color{#FF6800}{ 2 } } { 21 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { 11 \times 3 } { 14 \times 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 8 \times 2 } { 21 \times 2 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 33 } { 42 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 16 } { 42 } }$
$\color{#FF6800}{ \dfrac { 33 } { 42 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 16 } { 42 } }$
$ $ Since the denominator is the same as $ 42 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 33 - 16 } { 42 } }$
$\dfrac { \color{#FF6800}{ 33 } \color{#FF6800}{ - } \color{#FF6800}{ 16 } } { 42 }$
$ $ Subtract $ 16 $ from $ 33$
$\dfrac { \color{#FF6800}{ 17 } } { 42 }$
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