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Formula
Find the sum of the fractions
Answer
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$\dfrac{ 13 }{ 32 } + \dfrac{ 5 }{ 24 }$
$\dfrac { 59 } { 96 }$
Find the sum of the fractions
$\dfrac { 13 } { \color{#FF6800}{ 32 } } + \dfrac { 5 } { \color{#FF6800}{ 24 } }$
$ $ The smallest common multiple in denominator is $ 96$
$\dfrac { 13 } { \color{#FF6800}{ 32 } } + \dfrac { 5 } { \color{#FF6800}{ 24 } }$
$\dfrac { 13 } { 32 } + \dfrac { 5 } { 24 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 13 \times \color{#FF6800}{ 3 } } { 32 \times \color{#FF6800}{ 3 } } + \dfrac { 5 \times \color{#FF6800}{ 4 } } { 24 \times \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ \dfrac { 13 \times 3 } { 32 \times 3 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 5 \times 4 } { 24 \times 4 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 39 } { 96 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 20 } { 96 } }$
$\color{#FF6800}{ \dfrac { 39 } { 96 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 20 } { 96 } }$
$ $ Since the denominator is the same as $ 96 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 39 + 20 } { 96 } }$
$\dfrac { \color{#FF6800}{ 39 } \color{#FF6800}{ + } \color{#FF6800}{ 20 } } { 96 }$
$ $ Add $ 39 $ and $ 20$
$\dfrac { \color{#FF6800}{ 59 } } { 96 }$
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