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Formula
Find the difference
Answer
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$\dfrac{ 6 }{ 128 } - \dfrac{ 2 }{ 64 } =$
$\dfrac { 1 } { 64 }$
Find the difference
$\color{#FF6800}{ \dfrac { 6 } { 128 } } - \dfrac { 2 } { 64 }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ \dfrac { 3 } { 64 } } - \dfrac { 2 } { 64 }$
$\dfrac { 3 } { 64 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 64 } }$
$ $ Reduce the fraction to the lowest term $ $
$\dfrac { 3 } { 64 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 32 } }$
$\dfrac { 3 } { \color{#FF6800}{ 64 } } - \dfrac { 1 } { \color{#FF6800}{ 32 } }$
$ $ The smallest common multiple in denominator is $ 64$
$\dfrac { 3 } { \color{#FF6800}{ 64 } } - \dfrac { 1 } { \color{#FF6800}{ 32 } }$
$\dfrac { 3 } { 64 } - \dfrac { 1 } { 32 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 3 } { 64 } - \dfrac { 1 \times \color{#FF6800}{ 2 } } { 32 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { 3 } { 64 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 \times 2 } { 32 \times 2 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 3 } { 64 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 64 } }$
$\color{#FF6800}{ \dfrac { 3 } { 64 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { 64 } }$
$ $ Since the denominator is the same as $ 64 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 3 - 2 } { 64 } }$
$\dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } } { 64 }$
$ $ Subtract $ 2 $ from $ 3$
$\dfrac { \color{#FF6800}{ 1 } } { 64 }$
Solution search results
search-thumbnail-$\dfrac {2} {64}=\bar{1} $
10th-13th grade
Algebra
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