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Find the sum or difference of the fractions
Answer
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$2 \dfrac{ 2 }{ 3 } + \dfrac{ 5 }{ 8 } -1 \dfrac{ 11 }{ 12 }$
$\dfrac { 11 } { 8 }$
Find the sum or difference of the fractions
$\color{#FF6800}{ 2 \dfrac { 2 } { 3 } } + \dfrac { 5 } { 8 } - 1 \dfrac { 11 } { 12 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { 8 } { 3 } } + \dfrac { 5 } { 8 } - 1 \dfrac { 11 } { 12 }$
$\dfrac { 8 } { 3 } + \dfrac { 5 } { 8 } \color{#FF6800}{ - } \color{#FF6800}{ 1 \dfrac { 11 } { 12 } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 8 } { 3 } + \dfrac { 5 } { 8 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 23 } { 12 } }$
$\dfrac { 8 } { \color{#FF6800}{ 3 } } + \dfrac { 5 } { \color{#FF6800}{ 8 } } - \dfrac { 23 } { \color{#FF6800}{ 12 } }$
$ $ The smallest common multiple in denominator is $ 24$
$\dfrac { 8 } { \color{#FF6800}{ 3 } } + \dfrac { 5 } { \color{#FF6800}{ 8 } } - \dfrac { 23 } { \color{#FF6800}{ 12 } }$
$\dfrac { 8 } { 3 } + \dfrac { 5 } { 8 } - \dfrac { 23 } { 12 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 8 \times \color{#FF6800}{ 8 } } { 3 \times \color{#FF6800}{ 8 } } + \dfrac { 5 \times \color{#FF6800}{ 3 } } { 8 \times \color{#FF6800}{ 3 } } - \dfrac { 23 \times \color{#FF6800}{ 2 } } { 12 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { 8 \times 8 } { 3 \times 8 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 5 \times 3 } { 8 \times 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 23 \times 2 } { 12 \times 2 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 64 } { 24 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 15 } { 24 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 46 } { 24 } }$
$\color{#FF6800}{ \dfrac { 64 } { 24 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 15 } { 24 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 46 } { 24 } }$
$ $ Since the denominator is the same as $ 24 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 64 + 15 - 46 } { 24 } }$
$\dfrac { \color{#FF6800}{ 64 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \color{#FF6800}{ - } \color{#FF6800}{ 46 } } { 24 }$
$ $ Calculate the sum or the difference $ $
$\dfrac { \color{#FF6800}{ 33 } } { 24 }$
$\color{#FF6800}{ \dfrac { 33 } { 24 } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ \dfrac { 11 } { 8 } }$
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