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Find the difference

Answer

$\dfrac { 21 } { 10 }$

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 $ $

$\dfrac { 13 \times \color{#FF6800}{ 2 } } { 5 \times \color{#FF6800}{ 2 } } - \dfrac { 1 \times \color{#FF6800}{ 5 } } { 2 \times \color{#FF6800}{ 5 } }$

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 13 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \color{#FF6800}{ 5 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } } { \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } } }$

$ $ Organize the expression $ $

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 26 } } { \color{#FF6800}{ 10 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 10 } } }$

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 26 } } { \color{#FF6800}{ 10 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 10 } } }$

$ $ Since the denominator is the same as $ 10 $ , combine the fractions into one $ $

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 26 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } } { \color{#FF6800}{ 10 } } }$

$\dfrac { \color{#FF6800}{ 26 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } } { 10 }$

$ $ Subtract $ 5 $ from $ 26$

$\dfrac { \color{#FF6800}{ 21 } } { 10 }$

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