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Find the sum of the fractions

Answer

$\dfrac { 7 } { 6 }$

Find the sum of the fractions

$\dfrac { 1 } { \color{#FF6800}{ 3 } } + \dfrac { 5 } { \color{#FF6800}{ 6 } }$

$ $ The smallest common multiple in denominator is $ 6$

$\dfrac { 1 } { \color{#FF6800}{ 3 } } + \dfrac { 5 } { \color{#FF6800}{ 6 } }$

$\dfrac { 1 } { 3 } + \dfrac { 5 } { 6 }$

$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $

$\dfrac { 1 \times \color{#FF6800}{ 2 } } { 3 \times \color{#FF6800}{ 2 } } + \dfrac { 5 } { 6 }$

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 6 } } }$

$ $ Organize the expression $ $

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 6 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 6 } } }$

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 6 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 6 } } }$

$ $ Since the denominator is the same as $ 6 $ , combine the fractions into one $ $

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } } { \color{#FF6800}{ 6 } } }$

$\dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } } { 6 }$

$ $ Add $ 2 $ and $ 5$

$\dfrac { \color{#FF6800}{ 7 } } { 6 }$

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