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Formula
Find the sum of the fractions
Answer
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$\dfrac{ 20 }{ 27 } + \dfrac{ 11 }{ 18 }$
$\dfrac { 73 } { 54 }$
Find the sum of the fractions
$\dfrac { 20 } { \color{#FF6800}{ 27 } } + \dfrac { 11 } { \color{#FF6800}{ 18 } }$
$ $ The smallest common multiple in denominator is $ 54$
$\dfrac { 20 } { \color{#FF6800}{ 27 } } + \dfrac { 11 } { \color{#FF6800}{ 18 } }$
$\dfrac { 20 } { 27 } + \dfrac { 11 } { 18 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 20 \times \color{#FF6800}{ 2 } } { 27 \times \color{#FF6800}{ 2 } } + \dfrac { 11 \times \color{#FF6800}{ 3 } } { 18 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 20 \times 2 } { 27 \times 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 11 \times 3 } { 18 \times 3 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 40 } { 54 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 33 } { 54 } }$
$\color{#FF6800}{ \dfrac { 40 } { 54 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 33 } { 54 } }$
$ $ Since the denominator is the same as $ 54 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 40 + 33 } { 54 } }$
$\dfrac { \color{#FF6800}{ 40 } \color{#FF6800}{ + } \color{#FF6800}{ 33 } } { 54 }$
$ $ Add $ 40 $ and $ 33$
$\dfrac { \color{#FF6800}{ 73 } } { 54 }$
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