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Answer
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$\dfrac { 5 } { 16 }$
Calculate the value
$\dfrac { \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } } { 5 - \dfrac { 1 } { 5 } }$
$ $ Subtract $ \dfrac { 1 } { 2 } $ from $ 2$
$\dfrac { \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } } } } { 5 - \dfrac { 1 } { 5 } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } } } } { \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 5 } } } } }$
$ $ Calculate the complex fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 5 } } } \right ) } }$
$\dfrac { 3 } { 2 \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 5 } } } \right ) }$
$ $ Subtract $ \dfrac { 1 } { 5 } $ from $ 5$
$\dfrac { 3 } { 2 \times \color{#FF6800}{ \dfrac { \color{#FF6800}{ 24 } } { \color{#FF6800}{ 5 } } } }$
$\dfrac { 3 } { \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 24 } } { \color{#FF6800}{ 5 } } } }$
$ $ Calculate the product of rational numbers $ $
$\dfrac { 3 } { \color{#FF6800}{ \dfrac { \color{#FF6800}{ 48 } } { \color{#FF6800}{ 5 } } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ \dfrac { \color{#FF6800}{ 48 } } { \color{#FF6800}{ 5 } } } } }$
$ $ Calculate the complex fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } } { \color{#FF6800}{ 48 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } } { \color{#FF6800}{ 48 } } }$
$ $ Reduce the fraction $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 16 } } }$
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