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Find the sum of the fractions
Answer
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$\dfrac{ 5 }{ 6 } + \dfrac{ 1 }{ 10 }$
$\dfrac { 14 } { 15 }$
Find the sum of the fractions
$\dfrac { 5 } { \color{#FF6800}{ 6 } } + \dfrac { 1 } { \color{#FF6800}{ 10 } }$
$ $ The smallest common multiple in denominator is $ 30$
$\dfrac { 5 } { \color{#FF6800}{ 6 } } + \dfrac { 1 } { \color{#FF6800}{ 10 } }$
$\dfrac { 5 } { 6 } + \dfrac { 1 } { 10 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 5 \times \color{#FF6800}{ 5 } } { 6 \times \color{#FF6800}{ 5 } } + \dfrac { 1 \times \color{#FF6800}{ 3 } } { 10 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 5 \times 5 } { 6 \times 5 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 \times 3 } { 10 \times 3 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 25 } { 30 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 3 } { 30 } }$
$\color{#FF6800}{ \dfrac { 25 } { 30 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 3 } { 30 } }$
$ $ Since the denominator is the same as $ 30 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 25 + 3 } { 30 } }$
$\dfrac { \color{#FF6800}{ 25 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } { 30 }$
$ $ Add $ 25 $ and $ 3$
$\dfrac { \color{#FF6800}{ 28 } } { 30 }$
$\color{#FF6800}{ \dfrac { 28 } { 30 } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ \dfrac { 14 } { 15 } }$
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