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Find the sum or difference of the fractions

Answer

$- \dfrac { 7 } { 12 }$

Find the sum or difference of the fractions

$- \dfrac { 1 } { \color{#FF6800}{ 3 } } - \dfrac { 1 } { \color{#FF6800}{ 4 } }$

$ $ The smallest common multiple in denominator is $ 12$

$- \dfrac { 1 } { \color{#FF6800}{ 3 } } - \dfrac { 1 } { \color{#FF6800}{ 4 } }$

$- \dfrac { 1 } { 3 } - \dfrac { 1 } { 4 }$

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

$- \dfrac { 1 \times \color{#FF6800}{ 4 } } { 3 \times \color{#FF6800}{ 4 } } - \dfrac { 1 \times \color{#FF6800}{ 3 } } { 4 \times \color{#FF6800}{ 3 } }$

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } } { \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } }$

$ $ Organize the expression $ $

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } } { \color{#FF6800}{ 12 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 12 } } }$

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } } { \color{#FF6800}{ 12 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 12 } } }$

$ $ Since the denominator is the same as $ 12 $ , combine the fractions into one $ $

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } } { \color{#FF6800}{ 12 } } }$

$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } } { 12 }$

$ $ Find the sum of the negative numbers $ $

$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 7 } } { 12 }$

$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 7 } } { 12 }$

$ $ Move the minus sign to the front of the fraction $ $

$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 7 } } { \color{#FF6800}{ 12 } } }$

Solution search results

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Which of the following rational numbers are equivalent? $0Ptionsy$ A \frac{5}{6}, \frac{30}{36} B $s\sqrt{rac\left(} -2\right)\left(3\right)\sqrt{1rac} \sqrt{4\right)16\right)4} $ C $s\sqrt{11aC\left(} -4\right)1-7b,\sqrt{1rac\left(16\sqrt{35\right)9} } $ D \frac{1}{2},\frac{3}{8}

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