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Calculate the value
Answer
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$\dfrac{ 1 }{ 1- \dfrac{ 1 }{ 1- \dfrac{ 1 }{ x } } }$
$- x + 1$
Arrange the rational expression
$\color{#FF6800}{ \dfrac { 1 } { 1 - \dfrac { 1 } { 1 - \dfrac { 1 } { x } } } }$
$ $ Convert a fraction to a division $ $
$\color{#FF6800}{ 1 } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 1 - \dfrac { 1 } { x } } } \right )$
$1 \div \left ( 1 - \color{#FF6800}{ \dfrac { 1 } { 1 - \dfrac { 1 } { x } } } \right )$
$ $ Convert a fraction to a division $ $
$1 \div \left ( 1 - \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) \right ) \right )$
$1 \div \left ( 1 - \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) \right ) \right )$
$ $ Calculate the multiplication expression $ $
$1 \div \left ( 1 - \color{#FF6800}{ \dfrac { x } { x - 1 } } \right )$
$1 \div \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { x } { x - 1 } } \right )$
$ $ Calculate the expression as a fraction format $ $
$1 \div \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { x - 1 } } \right )$
$\color{#FF6800}{ 1 } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { x - 1 } } \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
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