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$\dfrac { 4 } { 15 }$
Calculate the value
$\color{#FF6800}{ - } \dfrac { 1 } { 6 } \times \left ( \color{#FF6800}{ - } \dfrac { 2 } { 3 } \right ) \div \color{#FF6800}{ \dfrac { 5 } { 12 } }$
$ $ Since negative numbers are multiplied by an even number, remove the (-) sign $ $
$\dfrac { 1 } { 6 } \times \dfrac { 2 } { 3 } \div \dfrac { 5 } { 12 }$
$\dfrac { 1 } { 6 } \times \dfrac { 2 } { 3 } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 12 } } }$
$ $ Convert division to multiplication $ $
$\dfrac { 1 } { 6 } \times \dfrac { 2 } { 3 } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 12 } } { \color{#FF6800}{ 5 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 6 } } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 3 } } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 12 } } { \color{#FF6800}{ 5 } } }$
$ $ Calculate the product of rational numbers $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } } { \color{#FF6800}{ 15 } } }$
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