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Formula
Find the difference
Answer
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$\dfrac{ 5 }{ 18 } - \dfrac{ 14 }{ 81 }$
$\dfrac { 17 } { 162 }$
Find the difference
$\dfrac { 5 } { \color{#FF6800}{ 18 } } - \dfrac { 14 } { \color{#FF6800}{ 81 } }$
$ $ The smallest common multiple in denominator is $ 162$
$\dfrac { 5 } { \color{#FF6800}{ 18 } } - \dfrac { 14 } { \color{#FF6800}{ 81 } }$
$\dfrac { 5 } { 18 } - \dfrac { 14 } { 81 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 5 \times \color{#FF6800}{ 9 } } { 18 \times \color{#FF6800}{ 9 } } - \dfrac { 14 \times \color{#FF6800}{ 2 } } { 81 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { 5 \times 9 } { 18 \times 9 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 14 \times 2 } { 81 \times 2 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 45 } { 162 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 28 } { 162 } }$
$\color{#FF6800}{ \dfrac { 45 } { 162 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 28 } { 162 } }$
$ $ Since the denominator is the same as $ 162 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 45 - 28 } { 162 } }$
$\dfrac { \color{#FF6800}{ 45 } \color{#FF6800}{ - } \color{#FF6800}{ 28 } } { 162 }$
$ $ Subtract $ 28 $ from $ 45$
$\dfrac { \color{#FF6800}{ 17 } } { 162 }$
Solution search results
search-thumbnail-Which of the following rational numbers are 
equivalent? 
$0Ptionsy$ 
A \frac{5}{6}, \frac{30}{36} 
B $s\sqrt{rac\left(} -2\right)\left(3\right)\sqrt{1rac} \sqrt{4\right)16\right)4} $ 
C $s\sqrt{11aC\left(} -4\right)1-7b,\sqrt{1rac\left(16\sqrt{35\right)9} } $ 
D \frac{1}{2},\frac{3}{8}
7th-9th grade
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