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$\color{#FF6800}{ \dfrac { 105 } { 90 } }$

$ $ Divide the denominator by the greatest common factor $ 15$

$\color{#FF6800}{ \dfrac { 105 \div 15 } { 90 \div 15 } }$

$\dfrac { \color{#FF6800}{ 105 } \color{#FF6800}{ \div } \color{#FF6800}{ 15 } } { 90 \div 15 }$

$ $ Divide $ 105 $ by $ 15$

$\dfrac { \color{#FF6800}{ 7 } } { 90 \div 15 }$

$\dfrac { 7 } { \color{#FF6800}{ 90 } \color{#FF6800}{ \div } \color{#FF6800}{ 15 } }$

$ $ Divide $ 90 $ by $ 15$

$\dfrac { 7 } { \color{#FF6800}{ 6 } }$

$\color{#FF6800}{ \dfrac { 105 } { 90 } }$

$ $ Reduce the fraction to the lowest term $ $

$\color{#FF6800}{ \dfrac { 7 } { 6 } }$

$\color{#FF6800}{ \dfrac { 7 } { 6 } }$

$ $ Convert fractions to decimals $ $

$\color{#FF6800}{ 1.16666 }$

$\color{#FF6800}{ 1.16666 }$

$ $ Multiply by 100 to be presented as % $ $

$1.16666 \times \color{#FF6800}{ 100 } = \color{#FF6800}{ 116.7 }$

$1.16666 \times \color{#FF6800}{ 100 } = \color{#FF6800}{ 116.7 }$

$ $ Attach % $ $

$\color{#FF6800}{ 116.7 \% }$

$\color{#FF6800}{ \dfrac { 105 } { 90 } }$

$ $ Convert a fraction to the repeating decimal number $ $

$\color{#FF6800}{ 1.1 \dot{ 6 } }$

$\color{#FF6800}{ \dfrac { 105 } { 90 } }$

$ $ Reduce the fraction to the lowest term $ $

$\color{#FF6800}{ \dfrac { 7 } { 6 } }$

$\color{#FF6800}{ \dfrac { 7 } { 6 } }$

$ $ Write $ 1 $ , the quotient of $ 7 $ $ \div $ \a2, in front of the mixed number, and write $ 1 $ in the numerator $ $

$\color{#FF6800}{ 1 \dfrac { 1 } { 6 } }$