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Formula
Find the sum of the fractions
Answer
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$\dfrac{ 4 }{ 15 } + \dfrac{ 2 }{ 5 }$
$\dfrac { 2 } { 3 }$
Find the sum of the fractions
$\dfrac { 4 } { \color{#FF6800}{ 15 } } + \dfrac { 2 } { \color{#FF6800}{ 5 } }$
$ $ The smallest common multiple in denominator is $ 15$
$\dfrac { 4 } { \color{#FF6800}{ 15 } } + \dfrac { 2 } { \color{#FF6800}{ 5 } }$
$\dfrac { 4 } { 15 } + \dfrac { 2 } { 5 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 4 } { 15 } + \dfrac { 2 \times \color{#FF6800}{ 3 } } { 5 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 4 } { 15 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 2 \times 3 } { 5 \times 3 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 4 } { 15 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 6 } { 15 } }$
$\color{#FF6800}{ \dfrac { 4 } { 15 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 6 } { 15 } }$
$ $ Since the denominator is the same as $ 15 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 4 + 6 } { 15 } }$
$\dfrac { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } } { 15 }$
$ $ Add $ 4 $ and $ 6$
$\dfrac { \color{#FF6800}{ 10 } } { 15 }$
$\color{#FF6800}{ \dfrac { 10 } { 15 } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ \dfrac { 2 } { 3 } }$
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