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Find the sum or difference of the fractions
Answer
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$- \dfrac{ 5 }{ 6 } + \dfrac{ 2 }{ 3 }$
$- \dfrac { 1 } { 6 }$
Find the sum or difference of the fractions
$- \dfrac { 5 } { \color{#FF6800}{ 6 } } + \dfrac { 2 } { \color{#FF6800}{ 3 } }$
$ $ The smallest common multiple in denominator is $ 6$
$- \dfrac { 5 } { \color{#FF6800}{ 6 } } + \dfrac { 2 } { \color{#FF6800}{ 3 } }$
$- \dfrac { 5 } { 6 } + \dfrac { 2 } { 3 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$- \dfrac { 5 } { 6 } + \dfrac { 2 \times \color{#FF6800}{ 2 } } { 3 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 2 \times 2 } { 3 \times 2 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 4 } { 6 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 4 } { 6 } }$
$ $ Since the denominator is the same as $ 6 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { - 5 + 4 } { 6 } }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } } { 6 }$
$ $ Add $ - 5 $ and $ 4$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } { 6 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } { 6 }$
$ $ Move the minus sign to the front of the fraction $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 6 } }$
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