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Find the sum or difference of the fractions
Answer
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$\dfrac { 55 } { 24 }$
Find the sum or difference of the fractions
$\color{#FF6800}{ 3 \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } - 2 \dfrac { 3 } { 8 } + 1 \dfrac { 1 } { 6 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 7 } } { \color{#FF6800}{ 2 } } } - 2 \dfrac { 3 } { 8 } + 1 \dfrac { 1 } { 6 }$
$\dfrac { 7 } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 2 \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 8 } } } + 1 \dfrac { 1 } { 6 }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 7 } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 19 } } { \color{#FF6800}{ 8 } } } + 1 \dfrac { 1 } { 6 }$
$\dfrac { 7 } { 2 } - \dfrac { 19 } { 8 } + \color{#FF6800}{ 1 \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 6 } } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 7 } { 2 } - \dfrac { 19 } { 8 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ 7 } } { \color{#FF6800}{ 6 } } }$
$\dfrac { 7 } { \color{#FF6800}{ 2 } } - \dfrac { 19 } { \color{#FF6800}{ 8 } } + \dfrac { 7 } { \color{#FF6800}{ 6 } }$
$ $ The smallest common multiple in denominator is $ 24$
$\dfrac { 7 } { \color{#FF6800}{ 2 } } - \dfrac { 19 } { \color{#FF6800}{ 8 } } + \dfrac { 7 } { \color{#FF6800}{ 6 } }$
$\dfrac { 7 } { 2 } - \dfrac { 19 } { 8 } + \dfrac { 7 } { 6 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 7 \times \color{#FF6800}{ 12 } } { 2 \times \color{#FF6800}{ 12 } } - \dfrac { 19 \times \color{#FF6800}{ 3 } } { 8 \times \color{#FF6800}{ 3 } } + \dfrac { 7 \times \color{#FF6800}{ 4 } } { 6 \times \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 7 } \color{#FF6800}{ \times } \color{#FF6800}{ 12 } } { \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 12 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 19 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } { \color{#FF6800}{ 8 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 7 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } } { \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 84 } } { \color{#FF6800}{ 24 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 57 } } { \color{#FF6800}{ 24 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 28 } } { \color{#FF6800}{ 24 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 84 } } { \color{#FF6800}{ 24 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 57 } } { \color{#FF6800}{ 24 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 28 } } { \color{#FF6800}{ 24 } } }$
$ $ Since the denominator is the same as $ 24 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 84 } \color{#FF6800}{ - } \color{#FF6800}{ 57 } \color{#FF6800}{ + } \color{#FF6800}{ 28 } } { \color{#FF6800}{ 24 } } }$
$\dfrac { \color{#FF6800}{ 84 } \color{#FF6800}{ - } \color{#FF6800}{ 57 } \color{#FF6800}{ + } \color{#FF6800}{ 28 } } { 24 }$
$ $ Calculate the sum or the difference $ $
$\dfrac { \color{#FF6800}{ 55 } } { 24 }$
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