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Formula
Find the sum or difference of the fractions
Answer
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$10 \dfrac{ 3 }{ 4 } -2 \dfrac{ 1 }{ 2 } -2 \dfrac{ 5 }{ 6 }$
$\dfrac { 65 } { 12 }$
Find the sum or difference of the fractions
$\color{#FF6800}{ 10 \dfrac { 3 } { 4 } } - 2 \dfrac { 1 } { 2 } - 2 \dfrac { 5 } { 6 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { 43 } { 4 } } - 2 \dfrac { 1 } { 2 } - 2 \dfrac { 5 } { 6 }$
$\dfrac { 43 } { 4 } \color{#FF6800}{ - } \color{#FF6800}{ 2 \dfrac { 1 } { 2 } } - 2 \dfrac { 5 } { 6 }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 43 } { 4 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 2 } } - 2 \dfrac { 5 } { 6 }$
$\dfrac { 43 } { 4 } - \dfrac { 5 } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 2 \dfrac { 5 } { 6 } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 43 } { 4 } - \dfrac { 5 } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 17 } { 6 } }$
$\dfrac { 43 } { \color{#FF6800}{ 4 } } - \dfrac { 5 } { \color{#FF6800}{ 2 } } - \dfrac { 17 } { \color{#FF6800}{ 6 } }$
$ $ The smallest common multiple in denominator is $ 12$
$\dfrac { 43 } { \color{#FF6800}{ 4 } } - \dfrac { 5 } { \color{#FF6800}{ 2 } } - \dfrac { 17 } { \color{#FF6800}{ 6 } }$
$\dfrac { 43 } { 4 } - \dfrac { 5 } { 2 } - \dfrac { 17 } { 6 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 43 \times \color{#FF6800}{ 3 } } { 4 \times \color{#FF6800}{ 3 } } - \dfrac { 5 \times \color{#FF6800}{ 6 } } { 2 \times \color{#FF6800}{ 6 } } - \dfrac { 17 \times \color{#FF6800}{ 2 } } { 6 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { 43 \times 3 } { 4 \times 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 \times 6 } { 2 \times 6 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 17 \times 2 } { 6 \times 2 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 129 } { 12 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 30 } { 12 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 34 } { 12 } }$
$\color{#FF6800}{ \dfrac { 129 } { 12 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 30 } { 12 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 34 } { 12 } }$
$ $ Since the denominator is the same as $ 12 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 129 - 30 - 34 } { 12 } }$
$\dfrac { \color{#FF6800}{ 129 } \color{#FF6800}{ - } \color{#FF6800}{ 30 } \color{#FF6800}{ - } \color{#FF6800}{ 34 } } { 12 }$
$ $ Calculate the sum or the difference $ $
$\dfrac { \color{#FF6800}{ 65 } } { 12 }$
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