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Formula
Find the sum of the fractions
Answer
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$\dfrac{ 4 }{ 9 } + \dfrac{ 5 }{ 12 }$
$\dfrac { 31 } { 36 }$
Find the sum of the fractions
$\dfrac { 4 } { \color{#FF6800}{ 9 } } + \dfrac { 5 } { \color{#FF6800}{ 12 } }$
$ $ The smallest common multiple in denominator is $ 36$
$\dfrac { 4 } { \color{#FF6800}{ 9 } } + \dfrac { 5 } { \color{#FF6800}{ 12 } }$
$\dfrac { 4 } { 9 } + \dfrac { 5 } { 12 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 4 \times \color{#FF6800}{ 4 } } { 9 \times \color{#FF6800}{ 4 } } + \dfrac { 5 \times \color{#FF6800}{ 3 } } { 12 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 4 \times 4 } { 9 \times 4 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 5 \times 3 } { 12 \times 3 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 16 } { 36 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 15 } { 36 } }$
$\color{#FF6800}{ \dfrac { 16 } { 36 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 15 } { 36 } }$
$ $ Since the denominator is the same as $ 36 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 16 + 15 } { 36 } }$
$\dfrac { \color{#FF6800}{ 16 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } } { 36 }$
$ $ Add $ 16 $ and $ 15$
$\dfrac { \color{#FF6800}{ 31 } } { 36 }$
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