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$\color{#FF6800}{ 10 \dfrac { 3 } { 20 } } - 8 \dfrac { 7 } { 25 }$

$ $ Convert mixed number into improper fraction $ $

$\color{#FF6800}{ \dfrac { 203 } { 20 } } - 8 \dfrac { 7 } { 25 }$

$\dfrac { 203 } { 20 } \color{#FF6800}{ - } \color{#FF6800}{ 8 \dfrac { 7 } { 25 } }$

$ $ Convert mixed number into improper fraction $ $

$\dfrac { 203 } { 20 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 207 } { 25 } }$

$\dfrac { 203 } { \color{#FF6800}{ 20 } } - \dfrac { 207 } { \color{#FF6800}{ 25 } }$

$ $ The smallest common multiple in denominator is $ 100$

$\dfrac { 203 } { \color{#FF6800}{ 20 } } - \dfrac { 207 } { \color{#FF6800}{ 25 } }$

$\dfrac { 203 } { 20 } - \dfrac { 207 } { 25 }$

$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $

$\dfrac { 203 \times \color{#FF6800}{ 5 } } { 20 \times \color{#FF6800}{ 5 } } - \dfrac { 207 \times \color{#FF6800}{ 4 } } { 25 \times \color{#FF6800}{ 4 } }$

$\color{#FF6800}{ \dfrac { 203 \times 5 } { 20 \times 5 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 207 \times 4 } { 25 \times 4 } }$

$ $ Organize the expression $ $

$\color{#FF6800}{ \dfrac { 1015 } { 100 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 828 } { 100 } }$

$\color{#FF6800}{ \dfrac { 1015 } { 100 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 828 } { 100 } }$

$ $ Since the denominator is the same as $ 100 $ , combine the fractions into one $ $

$\color{#FF6800}{ \dfrac { 1015 - 828 } { 100 } }$

$\dfrac { \color{#FF6800}{ 1015 } \color{#FF6800}{ - } \color{#FF6800}{ 828 } } { 100 }$

$ $ Subtract $ 828 $ from $ 1015$

$\dfrac { \color{#FF6800}{ 187 } } { 100 }$