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Find the sum of the fractions
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$\dfrac { 26 } { 21 }$
Find the sum of the fractions
$\dfrac { 2 } { \color{#FF6800}{ 3 } } + \dfrac { 4 } { \color{#FF6800}{ 7 } }$
$ $ The smallest common multiple in denominator is $ 21$
$\dfrac { 2 } { \color{#FF6800}{ 3 } } + \dfrac { 4 } { \color{#FF6800}{ 7 } }$
$\dfrac { 2 } { 3 } + \dfrac { 4 } { 7 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 2 \times \color{#FF6800}{ 7 } } { 3 \times \color{#FF6800}{ 7 } } + \dfrac { 4 \times \color{#FF6800}{ 3 } } { 7 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } } { \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 7 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } { \color{#FF6800}{ 7 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 14 } } { \color{#FF6800}{ 21 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 12 } } { \color{#FF6800}{ 21 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 14 } } { \color{#FF6800}{ 21 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 12 } } { \color{#FF6800}{ 21 } } }$
$ $ Since the denominator is the same as $ 21 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 14 } \color{#FF6800}{ + } \color{#FF6800}{ 12 } } { \color{#FF6800}{ 21 } } }$
$\dfrac { \color{#FF6800}{ 14 } \color{#FF6800}{ + } \color{#FF6800}{ 12 } } { 21 }$
$ $ Add $ 14 $ and $ 12$
$\dfrac { \color{#FF6800}{ 26 } } { 21 }$
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