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Find the difference
$\dfrac{ 3 }{ 5 } - \dfrac{ 1 }{ 10 }$
$\dfrac { 1 } { 2 }$
Find the difference
$\dfrac { 3 } { \color{#FF6800}{ 5 } } - \dfrac { 1 } { \color{#FF6800}{ 10 } }$
 The smallest common multiple in denominator is $10$
$\dfrac { 3 } { \color{#FF6800}{ 5 } } - \dfrac { 1 } { \color{#FF6800}{ 10 } }$
$\dfrac { 3 } { 5 } - \dfrac { 1 } { 10 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$\dfrac { 3 \times \color{#FF6800}{ 2 } } { 5 \times \color{#FF6800}{ 2 } } - \dfrac { 1 } { 10 }$
$\color{#FF6800}{ \dfrac { 3 \times 2 } { 5 \times 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 10 } }$
 Organize the expression 
$\color{#FF6800}{ \dfrac { 6 } { 10 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 10 } }$
$\color{#FF6800}{ \dfrac { 6 } { 10 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 10 } }$
 Since the denominator is the same as $10$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { 6 - 1 } { 10 } }$
$\dfrac { \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } } { 10 }$
 Subtract $1$ from $6$
$\dfrac { \color{#FF6800}{ 5 } } { 10 }$
$\color{#FF6800}{ \dfrac { 5 } { 10 } }$
 Reduce the fraction to the lowest term 
$\color{#FF6800}{ \dfrac { 1 } { 2 } }$
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