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Formula
Find the difference
Answer
See the solving process
$\dfrac{ 13 }{ 5 } - \dfrac{ 1 }{ 2 }$
$\dfrac { 21 } { 10 }$
Find the difference
$\dfrac { 13 } { \color{#FF6800}{ 5 } } - \dfrac { 1 } { \color{#FF6800}{ 2 } }$
$ $ The smallest common multiple in denominator is $ 10$
$\dfrac { 13 } { \color{#FF6800}{ 5 } } - \dfrac { 1 } { \color{#FF6800}{ 2 } }$
$\dfrac { 13 } { 5 } - \dfrac { 1 } { 2 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 13 \times \color{#FF6800}{ 2 } } { 5 \times \color{#FF6800}{ 2 } } - \dfrac { 1 \times \color{#FF6800}{ 5 } } { 2 \times \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ \dfrac { 13 \times 2 } { 5 \times 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 \times 5 } { 2 \times 5 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 26 } { 10 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 10 } }$
$\color{#FF6800}{ \dfrac { 26 } { 10 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 10 } }$
$ $ Since the denominator is the same as $ 10 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 26 - 5 } { 10 } }$
$\dfrac { \color{#FF6800}{ 26 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } } { 10 }$
$ $ Subtract $ 5 $ from $ 26$
$\dfrac { \color{#FF6800}{ 21 } } { 10 }$
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