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Find the sum or difference of the fractions
Answer
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$- \dfrac{ 1 }{ 2 } - \dfrac{ 3 }{ 5 } + \dfrac{ 5 }{ 4 }$
$\dfrac { 3 } { 20 }$
Find the sum or difference of the fractions
$- \dfrac { 1 } { \color{#FF6800}{ 2 } } - \dfrac { 3 } { \color{#FF6800}{ 5 } } + \dfrac { 5 } { \color{#FF6800}{ 4 } }$
$ $ The smallest common multiple in denominator is $ 20$
$- \dfrac { 1 } { \color{#FF6800}{ 2 } } - \dfrac { 3 } { \color{#FF6800}{ 5 } } + \dfrac { 5 } { \color{#FF6800}{ 4 } }$
$- \dfrac { 1 } { 2 } - \dfrac { 3 } { 5 } + \dfrac { 5 } { 4 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$- \dfrac { 1 \times \color{#FF6800}{ 10 } } { 2 \times \color{#FF6800}{ 10 } } - \dfrac { 3 \times \color{#FF6800}{ 4 } } { 5 \times \color{#FF6800}{ 4 } } + \dfrac { 5 \times \color{#FF6800}{ 5 } } { 4 \times \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 \times 10 } { 2 \times 10 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 \times 4 } { 5 \times 4 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 5 \times 5 } { 4 \times 5 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 10 } { 20 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 12 } { 20 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 25 } { 20 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 10 } { 20 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 12 } { 20 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 25 } { 20 } }$
$ $ Since the denominator is the same as $ 20 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { - 10 - 12 + 25 } { 20 } }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ + } \color{#FF6800}{ 25 } } { 20 }$
$ $ Calculate the sum or the difference $ $
$\dfrac { \color{#FF6800}{ 3 } } { 20 }$
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