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Formula
Find the difference
Answer
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$3 \dfrac{ 3 }{ 10 } -2 \dfrac{ 3 }{ 4 }$
$\dfrac { 11 } { 20 }$
Find the difference
$\color{#FF6800}{ 3 \dfrac { 3 } { 10 } } - 2 \dfrac { 3 } { 4 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ \dfrac { 33 } { 10 } } - 2 \dfrac { 3 } { 4 }$
$\dfrac { 33 } { 10 } \color{#FF6800}{ - } \color{#FF6800}{ 2 \dfrac { 3 } { 4 } }$
$ $ Convert mixed number into improper fraction $ $
$\dfrac { 33 } { 10 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 11 } { 4 } }$
$\dfrac { 33 } { \color{#FF6800}{ 10 } } - \dfrac { 11 } { \color{#FF6800}{ 4 } }$
$ $ The smallest common multiple in denominator is $ 20$
$\dfrac { 33 } { \color{#FF6800}{ 10 } } - \dfrac { 11 } { \color{#FF6800}{ 4 } }$
$\dfrac { 33 } { 10 } - \dfrac { 11 } { 4 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 33 \times \color{#FF6800}{ 2 } } { 10 \times \color{#FF6800}{ 2 } } - \dfrac { 11 \times \color{#FF6800}{ 5 } } { 4 \times \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ \dfrac { 33 \times 2 } { 10 \times 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 11 \times 5 } { 4 \times 5 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 66 } { 20 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 55 } { 20 } }$
$\color{#FF6800}{ \dfrac { 66 } { 20 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 55 } { 20 } }$
$ $ Since the denominator is the same as $ 20 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 66 - 55 } { 20 } }$
$\dfrac { \color{#FF6800}{ 66 } \color{#FF6800}{ - } \color{#FF6800}{ 55 } } { 20 }$
$ $ Subtract $ 55 $ from $ 66$
$\dfrac { \color{#FF6800}{ 11 } } { 20 }$
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