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Formula
Find the difference
Answer
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$\left( + \dfrac{ 4 }{ 5 } \right) - \left( + \dfrac{ 1 }{ 20 } \right)$
$\dfrac { 3 } { 4 }$
Find the difference
$\dfrac { 4 } { \color{#FF6800}{ 5 } } - \dfrac { 1 } { \color{#FF6800}{ 20 } }$
$ $ The smallest common multiple in denominator is $ 20$
$\dfrac { 4 } { \color{#FF6800}{ 5 } } - \dfrac { 1 } { \color{#FF6800}{ 20 } }$
$\dfrac { 4 } { 5 } - \dfrac { 1 } { 20 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 4 \times \color{#FF6800}{ 4 } } { 5 \times \color{#FF6800}{ 4 } } - \dfrac { 1 } { 20 }$
$\color{#FF6800}{ \dfrac { 4 \times 4 } { 5 \times 4 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 20 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 16 } { 20 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 20 } }$
$\color{#FF6800}{ \dfrac { 16 } { 20 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 20 } }$
$ $ Since the denominator is the same as $ 20 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 16 - 1 } { 20 } }$
$\dfrac { \color{#FF6800}{ 16 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } { 20 }$
$ $ Subtract $ 1 $ from $ 16$
$\dfrac { \color{#FF6800}{ 15 } } { 20 }$
$\color{#FF6800}{ \dfrac { 15 } { 20 } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ \dfrac { 3 } { 4 } }$
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