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Formula
Find the sum of the fractions
Answer
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$\dfrac{ 11 }{ 6 } + \dfrac{ 1 }{ 2 }$
$\dfrac { 7 } { 3 }$
Find the sum of the fractions
$\dfrac { 11 } { \color{#FF6800}{ 6 } } + \dfrac { 1 } { \color{#FF6800}{ 2 } }$
$ $ The smallest common multiple in denominator is $ 6$
$\dfrac { 11 } { \color{#FF6800}{ 6 } } + \dfrac { 1 } { \color{#FF6800}{ 2 } }$
$\dfrac { 11 } { 6 } + \dfrac { 1 } { 2 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 11 } { 6 } + \dfrac { 1 \times \color{#FF6800}{ 3 } } { 2 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 11 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 \times 3 } { 2 \times 3 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 11 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 3 } { 6 } }$
$\color{#FF6800}{ \dfrac { 11 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 3 } { 6 } }$
$ $ Since the denominator is the same as $ 6 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 11 + 3 } { 6 } }$
$\dfrac { \color{#FF6800}{ 11 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } } { 6 }$
$ $ Add $ 11 $ and $ 3$
$\dfrac { \color{#FF6800}{ 14 } } { 6 }$
$\color{#FF6800}{ \dfrac { 14 } { 6 } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ \dfrac { 7 } { 3 } }$
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