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Formula
Find the difference
Answer
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$4 \dfrac{ 4 }{ 15 } -2 \dfrac{ 8 }{ 9 }$
$\dfrac { 62 } { 45 }$
Find the difference
$\color{#FF6800}{ 4 \dfrac { 4 } { 15 } } - 2 \dfrac { 8 } { 9 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { 64 } { 15 } } - 2 \dfrac { 8 } { 9 }$
$\dfrac { 64 } { 15 } \color{#FF6800}{ - } \color{#FF6800}{ 2 \dfrac { 8 } { 9 } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 64 } { 15 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 26 } { 9 } }$
$\dfrac { 64 } { \color{#FF6800}{ 15 } } - \dfrac { 26 } { \color{#FF6800}{ 9 } }$
$ $ The smallest common multiple in denominator is $ 45$
$\dfrac { 64 } { \color{#FF6800}{ 15 } } - \dfrac { 26 } { \color{#FF6800}{ 9 } }$
$\dfrac { 64 } { 15 } - \dfrac { 26 } { 9 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 64 \times \color{#FF6800}{ 3 } } { 15 \times \color{#FF6800}{ 3 } } - \dfrac { 26 \times \color{#FF6800}{ 5 } } { 9 \times \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ \dfrac { 64 \times 3 } { 15 \times 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 26 \times 5 } { 9 \times 5 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 192 } { 45 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 130 } { 45 } }$
$\color{#FF6800}{ \dfrac { 192 } { 45 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 130 } { 45 } }$
$ $ Since the denominator is the same as $ 45 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 192 - 130 } { 45 } }$
$\dfrac { \color{#FF6800}{ 192 } \color{#FF6800}{ - } \color{#FF6800}{ 130 } } { 45 }$
$ $ Subtract $ 130 $ from $ 192$
$\dfrac { \color{#FF6800}{ 62 } } { 45 }$
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