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Formula
Find the sum or difference of the fractions
Answer
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$\left( - \dfrac{ 3 }{ 5 } \right) + \left( - \dfrac{ 3 }{ 4 } \right)$
$- \dfrac { 27 } { 20 }$
Find the sum or difference of the fractions
$- \dfrac { 3 } { \color{#FF6800}{ 5 } } - \dfrac { 3 } { \color{#FF6800}{ 4 } }$
$ $ The smallest common multiple in denominator is $ 20$
$- \dfrac { 3 } { \color{#FF6800}{ 5 } } - \dfrac { 3 } { \color{#FF6800}{ 4 } }$
$- \dfrac { 3 } { 5 } - \dfrac { 3 } { 4 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$- \dfrac { 3 \times \color{#FF6800}{ 4 } } { 5 \times \color{#FF6800}{ 4 } } - \dfrac { 3 \times \color{#FF6800}{ 5 } } { 4 \times \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 \times 4 } { 5 \times 4 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 \times 5 } { 4 \times 5 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 12 } { 20 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 15 } { 20 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 12 } { 20 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 15 } { 20 } }$
$ $ Since the denominator is the same as $ 20 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { - 12 - 15 } { 20 } }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 15 } } { 20 }$
$ $ Find the sum of the negative numbers $ $
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 27 } } { 20 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 27 } } { 20 }$
$ $ Move the minus sign to the front of the fraction $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 27 } { 20 } }$
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