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Find the difference
Answer
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$\dfrac { 43 } { 25 }$
Find the difference
$\color{#FF6800}{ 6 \dfrac { \color{#FF6800}{ 8 } } { \color{#FF6800}{ 25 } } } - 4 \dfrac { 3 } { 5 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 158 } } { \color{#FF6800}{ 25 } } } - 4 \dfrac { 3 } { 5 }$
$\dfrac { 158 } { 25 } \color{#FF6800}{ - } \color{#FF6800}{ 4 \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 5 } } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 158 } { 25 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } } { \color{#FF6800}{ 5 } } }$
$\dfrac { 158 } { \color{#FF6800}{ 25 } } - \dfrac { 23 } { \color{#FF6800}{ 5 } }$
$ $ The smallest common multiple in denominator is $ 25$
$\dfrac { 158 } { \color{#FF6800}{ 25 } } - \dfrac { 23 } { \color{#FF6800}{ 5 } }$
$\dfrac { 158 } { 25 } - \dfrac { 23 } { 5 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 158 } { 25 } - \dfrac { 23 \times \color{#FF6800}{ 5 } } { 5 \times \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 158 } } { \color{#FF6800}{ 25 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 23 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } } { \color{#FF6800}{ 5 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 158 } } { \color{#FF6800}{ 25 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 115 } } { \color{#FF6800}{ 25 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 158 } } { \color{#FF6800}{ 25 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 115 } } { \color{#FF6800}{ 25 } } }$
$ $ Since the denominator is the same as $ 25 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 158 } \color{#FF6800}{ - } \color{#FF6800}{ 115 } } { \color{#FF6800}{ 25 } } }$
$\dfrac { \color{#FF6800}{ 158 } \color{#FF6800}{ - } \color{#FF6800}{ 115 } } { 25 }$
$ $ Subtract $ 115 $ from $ 158$
$\dfrac { \color{#FF6800}{ 43 } } { 25 }$
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