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Formula
Find the sum or difference of the fractions
Answer
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$3 \dfrac{ 5 }{ 12 } + \dfrac{ 1 }{ 4 } - \dfrac{ 5 }{ 9 }$
$\dfrac { 28 } { 9 }$
Find the sum or difference of the fractions
$\color{#FF6800}{ 3 \dfrac { 5 } { 12 } } + \dfrac { 1 } { 4 } - \dfrac { 5 } { 9 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { 41 } { 12 } } + \dfrac { 1 } { 4 } - \dfrac { 5 } { 9 }$
$\dfrac { 41 } { \color{#FF6800}{ 12 } } + \dfrac { 1 } { \color{#FF6800}{ 4 } } - \dfrac { 5 } { \color{#FF6800}{ 9 } }$
$ $ The smallest common multiple in denominator is $ 36$
$\dfrac { 41 } { \color{#FF6800}{ 12 } } + \dfrac { 1 } { \color{#FF6800}{ 4 } } - \dfrac { 5 } { \color{#FF6800}{ 9 } }$
$\dfrac { 41 } { 12 } + \dfrac { 1 } { 4 } - \dfrac { 5 } { 9 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 41 \times \color{#FF6800}{ 3 } } { 12 \times \color{#FF6800}{ 3 } } + \dfrac { 1 \times \color{#FF6800}{ 9 } } { 4 \times \color{#FF6800}{ 9 } } - \dfrac { 5 \times \color{#FF6800}{ 4 } } { 9 \times \color{#FF6800}{ 4 } }$
$\color{#FF6800}{ \dfrac { 41 \times 3 } { 12 \times 3 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 \times 9 } { 4 \times 9 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 \times 4 } { 9 \times 4 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 123 } { 36 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 9 } { 36 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 20 } { 36 } }$
$\color{#FF6800}{ \dfrac { 123 } { 36 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 9 } { 36 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 20 } { 36 } }$
$ $ Since the denominator is the same as $ 36 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 123 + 9 - 20 } { 36 } }$
$\dfrac { \color{#FF6800}{ 123 } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \color{#FF6800}{ - } \color{#FF6800}{ 20 } } { 36 }$
$ $ Calculate the sum or the difference $ $
$\dfrac { \color{#FF6800}{ 112 } } { 36 }$
$\color{#FF6800}{ \dfrac { 112 } { 36 } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ \dfrac { 28 } { 9 } }$
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