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Answer
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$\dfrac { 13 } { 15 }$
Calculate the value
$\color{#FF6800}{ 0.2 } + \left ( - 5 \right ) ^ { 2 } \div 15 - 1$
$ $ Convert decimals to fractions $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 5 } } } + \left ( - 5 \right ) ^ { 2 } \div 15 - 1$
$\dfrac { 1 } { 5 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) ^ { \color{#FF6800}{ 2 } } \div 15 - 1$
$ $ Remove negative signs because negative numbers raised to even powers are positive $ $
$\dfrac { 1 } { 5 } + 5 ^ { 2 } \div 15 - 1$
$\dfrac { 1 } { 5 } + \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \div 15 - 1$
$ $ Calculate power $ $
$\dfrac { 1 } { 5 } + \color{#FF6800}{ 25 } \div 15 - 1$
$\dfrac { 1 } { 5 } + \color{#FF6800}{ 25 } \color{#FF6800}{ \div } \color{#FF6800}{ 15 } - 1$
$ $ Divide $ 25 $ by $ 15$
$\dfrac { 1 } { 5 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 3 } } } - 1$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 5 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$ $ Calculate the sum or the difference $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 13 } } { \color{#FF6800}{ 15 } } }$
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