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Formula
Find the difference
$4 \dfrac{ 1 }{ 6 } -2 \dfrac{ 2 }{ 3 }$
$\dfrac { 3 } { 2 }$
Find the difference
$\color{#FF6800}{ 4 \dfrac { 1 } { 6 } } - 2 \dfrac { 2 } { 3 }$
 Convert mixed number into improper fraction 
$\color{#FF6800}{ \dfrac { 25 } { 6 } } - 2 \dfrac { 2 } { 3 }$
$\dfrac { 25 } { 6 } \color{#FF6800}{ - } \color{#FF6800}{ 2 \dfrac { 2 } { 3 } }$
 Convert mixed number into improper fraction 
$\dfrac { 25 } { 6 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 8 } { 3 } }$
$\dfrac { 25 } { \color{#FF6800}{ 6 } } - \dfrac { 8 } { \color{#FF6800}{ 3 } }$
 The smallest common multiple in denominator is $6$
$\dfrac { 25 } { \color{#FF6800}{ 6 } } - \dfrac { 8 } { \color{#FF6800}{ 3 } }$
$\dfrac { 25 } { 6 } - \dfrac { 8 } { 3 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$\dfrac { 25 } { 6 } - \dfrac { 8 \times \color{#FF6800}{ 2 } } { 3 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { 25 } { 6 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 8 \times 2 } { 3 \times 2 } }$
 Organize the expression 
$\color{#FF6800}{ \dfrac { 25 } { 6 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 16 } { 6 } }$
$\color{#FF6800}{ \dfrac { 25 } { 6 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 16 } { 6 } }$
 Since the denominator is the same as $6$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { 25 - 16 } { 6 } }$
$\dfrac { \color{#FF6800}{ 25 } \color{#FF6800}{ - } \color{#FF6800}{ 16 } } { 6 }$
 Subtract $16$ from $25$
$\dfrac { \color{#FF6800}{ 9 } } { 6 }$
$\color{#FF6800}{ \dfrac { 9 } { 6 } }$
 Reduce the fraction to the lowest term 
$\color{#FF6800}{ \dfrac { 3 } { 2 } }$
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