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Formula
Find the sum of the fractions
Answer
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$\dfrac{ 1 }{ 4 } + \dfrac{ 1 }{ 8 }$
$\dfrac { 3 } { 8 }$
Find the sum of the fractions
$\dfrac { 1 } { \color{#FF6800}{ 4 } } + \dfrac { 1 } { \color{#FF6800}{ 8 } }$
$ $ The smallest common multiple in denominator is $ 8$
$\dfrac { 1 } { \color{#FF6800}{ 4 } } + \dfrac { 1 } { \color{#FF6800}{ 8 } }$
$\dfrac { 1 } { 4 } + \dfrac { 1 } { 8 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 1 \times \color{#FF6800}{ 2 } } { 4 \times \color{#FF6800}{ 2 } } + \dfrac { 1 } { 8 }$
$\color{#FF6800}{ \dfrac { 1 \times 2 } { 4 \times 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { 8 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 2 } { 8 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { 8 } }$
$\color{#FF6800}{ \dfrac { 2 } { 8 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { 8 } }$
$ $ Since the denominator is the same as $ 8 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 2 + 1 } { 8 } }$
$\dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } { 8 }$
$ $ Add $ 2 $ and $ 1$
$\dfrac { \color{#FF6800}{ 3 } } { 8 }$
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