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Formula
Find the sum of the fractions
Answer
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$\dfrac{ 4 }{ 13 } + \dfrac{ 1 }{ 2 }$
$\dfrac { 21 } { 26 }$
Find the sum of the fractions
$\dfrac { 4 } { \color{#FF6800}{ 13 } } + \dfrac { 1 } { \color{#FF6800}{ 2 } }$
$ $ The smallest common multiple in denominator is $ 26$
$\dfrac { 4 } { \color{#FF6800}{ 13 } } + \dfrac { 1 } { \color{#FF6800}{ 2 } }$
$\dfrac { 4 } { 13 } + \dfrac { 1 } { 2 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 4 \times \color{#FF6800}{ 2 } } { 13 \times \color{#FF6800}{ 2 } } + \dfrac { 1 \times \color{#FF6800}{ 13 } } { 2 \times \color{#FF6800}{ 13 } }$
$\color{#FF6800}{ \dfrac { 4 \times 2 } { 13 \times 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 \times 13 } { 2 \times 13 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 8 } { 26 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 13 } { 26 } }$
$\color{#FF6800}{ \dfrac { 8 } { 26 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 13 } { 26 } }$
$ $ Since the denominator is the same as $ 26 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 8 + 13 } { 26 } }$
$\dfrac { \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ 13 } } { 26 }$
$ $ Add $ 8 $ and $ 13$
$\dfrac { \color{#FF6800}{ 21 } } { 26 }$
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