qanda-logo
search-icon
Symbol
apple-logo
google-play-logo

Calculator search results

Formula
Find the sum or difference of the fractions
Answer
circle-check-icon
expand-arrow-icon
expand-arrow-icon
$\dfrac{ 3 }{ 4 } - \dfrac{ 5 }{ 6 } - \dfrac{ 3 }{ 2 }$
$- \dfrac { 19 } { 12 }$
Find the sum or difference of the fractions
$\dfrac { 3 } { \color{#FF6800}{ 4 } } - \dfrac { 5 } { \color{#FF6800}{ 6 } } - \dfrac { 3 } { \color{#FF6800}{ 2 } }$
$ $ The smallest common multiple in denominator is $ 12$
$\dfrac { 3 } { \color{#FF6800}{ 4 } } - \dfrac { 5 } { \color{#FF6800}{ 6 } } - \dfrac { 3 } { \color{#FF6800}{ 2 } }$
$\dfrac { 3 } { 4 } - \dfrac { 5 } { 6 } - \dfrac { 3 } { 2 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 3 \times \color{#FF6800}{ 3 } } { 4 \times \color{#FF6800}{ 3 } } - \dfrac { 5 \times \color{#FF6800}{ 2 } } { 6 \times \color{#FF6800}{ 2 } } - \dfrac { 3 \times \color{#FF6800}{ 6 } } { 2 \times \color{#FF6800}{ 6 } }$
$\color{#FF6800}{ \dfrac { 3 \times 3 } { 4 \times 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 \times 2 } { 6 \times 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 \times 6 } { 2 \times 6 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 9 } { 12 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 10 } { 12 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 18 } { 12 } }$
$\color{#FF6800}{ \dfrac { 9 } { 12 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 10 } { 12 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 18 } { 12 } }$
$ $ Since the denominator is the same as $ 12 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 9 - 10 - 18 } { 12 } }$
$\dfrac { \color{#FF6800}{ 9 } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 18 } } { 12 }$
$ $ Calculate the sum or the difference $ $
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 19 } } { 12 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 19 } } { 12 }$
$ $ Move the minus sign to the front of the fraction $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 19 } { 12 } }$
Solution search results
Have you found the solution you wanted?
Try again
Try more features at Qanda!
Search by problem image
Ask 1:1 question to TOP class teachers
AI recommend problems and video lecture
apple-logo
google-play-logo