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Formula
Find the sum or difference of the fractions
Answer
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$\dfrac{ 5 }{ 7 } + \dfrac{ 1 }{ 5 } - \dfrac{ 1 }{ 2 }$
$\dfrac { 29 } { 70 }$
Find the sum or difference of the fractions
$\dfrac { 5 } { \color{#FF6800}{ 7 } } + \dfrac { 1 } { \color{#FF6800}{ 5 } } - \dfrac { 1 } { \color{#FF6800}{ 2 } }$
$ $ The smallest common multiple in denominator is $ 70$
$\dfrac { 5 } { \color{#FF6800}{ 7 } } + \dfrac { 1 } { \color{#FF6800}{ 5 } } - \dfrac { 1 } { \color{#FF6800}{ 2 } }$
$\dfrac { 5 } { 7 } + \dfrac { 1 } { 5 } - \dfrac { 1 } { 2 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 5 \times \color{#FF6800}{ 10 } } { 7 \times \color{#FF6800}{ 10 } } + \dfrac { 1 \times \color{#FF6800}{ 14 } } { 5 \times \color{#FF6800}{ 14 } } - \dfrac { 1 \times \color{#FF6800}{ 35 } } { 2 \times \color{#FF6800}{ 35 } }$
$\color{#FF6800}{ \dfrac { 5 \times 10 } { 7 \times 10 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 \times 14 } { 5 \times 14 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 \times 35 } { 2 \times 35 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 50 } { 70 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 14 } { 70 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 35 } { 70 } }$
$\color{#FF6800}{ \dfrac { 50 } { 70 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 14 } { 70 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 35 } { 70 } }$
$ $ Since the denominator is the same as $ 70 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 50 + 14 - 35 } { 70 } }$
$\dfrac { \color{#FF6800}{ 50 } \color{#FF6800}{ + } \color{#FF6800}{ 14 } \color{#FF6800}{ - } \color{#FF6800}{ 35 } } { 70 }$
$ $ Calculate the sum or the difference $ $
$\dfrac { \color{#FF6800}{ 29 } } { 70 }$
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