$\color{#FF6800}{ - } \color{#FF6800}{ 5 \dfrac { \color{#FF6800}{ 7 } } { \color{#FF6800}{ 20 } } } + 3 \dfrac { 11 } { 20 }$
$ $ Convert mixed number into improper fraction $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 107 } } { \color{#FF6800}{ 20 } } } + 3 \dfrac { 11 } { 20 }$
$- \dfrac { 107 } { 20 } + \color{#FF6800}{ 3 \dfrac { \color{#FF6800}{ 11 } } { \color{#FF6800}{ 20 } } }$
$ $ Convert mixed number into improper fraction $ $
$- \dfrac { 107 } { 20 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ 71 } } { \color{#FF6800}{ 20 } } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 107 } } { \color{#FF6800}{ 20 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 71 } } { \color{#FF6800}{ 20 } } }$
$ $ Since the denominator is the same as $ 20 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 107 } \color{#FF6800}{ + } \color{#FF6800}{ 71 } } { \color{#FF6800}{ 20 } } }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 107 } \color{#FF6800}{ + } \color{#FF6800}{ 71 } } { 20 }$
$ $ 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 $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 36 } } { \color{#FF6800}{ 20 } } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 36 } } { \color{#FF6800}{ 20 } } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 9 } } { \color{#FF6800}{ 5 } } }$