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$\dfrac { \color{#FF6800}{ 5 } } { 9 } \times \dfrac { 2 } { \color{#FF6800}{ 5 } }$

$ $ Reduce all denominators and numerators that can be reduced $ $

$\dfrac { \color{#FF6800}{ 1 } } { 9 } \times \dfrac { 2 } { \color{#FF6800}{ 1 } }$

$\color{#FF6800}{ \dfrac { 1 } { 9 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 2 } { 1 } }$

$ $ numerator multiply between numerator, and denominators multiply between denominators $ $

$\color{#FF6800}{ \dfrac { 1 \times 2 } { 9 \times 1 } }$

$\dfrac { \color{#FF6800}{ 1 } \times 2 } { 9 \times 1 }$

$ $ Multiplying any number by 1 does not change the value $ $

$\dfrac { \color{#FF6800}{ 2 } } { 9 \times 1 }$

$\dfrac { 2 } { 9 \color{#FF6800}{ \times } \color{#FF6800}{ 1 } }$

$ $ Multiplying any number by 1 does not change the value $ $

$\dfrac { 2 } { \color{#FF6800}{ 9 } }$