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$\color{#FF6800}{ - } \color{#FF6800}{ 5 \dfrac { 7 } { 20 } } + 3 \dfrac { 11 } { 20 }$

$ $ Convert mixed number into improper fraction $ $

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 107 } { 20 } } + 3 \dfrac { 11 } { 20 }$

$- \dfrac { 107 } { 20 } + \color{#FF6800}{ 3 \dfrac { 11 } { 20 } }$

$ $ Convert mixed number into improper fraction $ $

$- \dfrac { 107 } { 20 } + \color{#FF6800}{ \dfrac { 71 } { 20 } }$

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 107 } { 20 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 71 } { 20 } }$

$ $ Since the denominator is the same as $ 20 $ , combine the fractions into one $ $

$\color{#FF6800}{ \dfrac { - 107 + 71 } { 20 } }$

$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 107 } \color{#FF6800}{ + } \color{#FF6800}{ 71 } } { 20 }$

$ $ Add $ - 107 $ and $ 71$

$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 36 } } { 20 }$

$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 36 } } { 20 }$

$ $ Move the minus sign to the front of the fraction $ $

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 36 } { 20 } }$

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 36 } { 20 } }$

$ $ Reduce the fraction to the lowest term $ $

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 } { 5 } }$