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
expand-arrow-icon
$- \dfrac{ 3 }{ 4 } +4 \dfrac{ 5 }{ 12 }$
$\dfrac { 11 } { 3 }$
Find the sum or difference of the fractions
$- \dfrac { 3 } { 4 } + \color{#FF6800}{ 4 \dfrac { 5 } { 12 } }$
$ $ Convert mixed number into improper fraction $ $
$- \dfrac { 3 } { 4 } + \color{#FF6800}{ \dfrac { 53 } { 12 } }$
$- \dfrac { 3 } { \color{#FF6800}{ 4 } } + \dfrac { 53 } { \color{#FF6800}{ 12 } }$
$ $ The smallest common multiple in denominator is $ 12$
$- \dfrac { 3 } { \color{#FF6800}{ 4 } } + \dfrac { 53 } { \color{#FF6800}{ 12 } }$
$- \dfrac { 3 } { 4 } + \dfrac { 53 } { 12 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$- \dfrac { 3 \times \color{#FF6800}{ 3 } } { 4 \times \color{#FF6800}{ 3 } } + \dfrac { 53 } { 12 }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 \times 3 } { 4 \times 3 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 53 } { 12 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 } { 12 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 53 } { 12 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 9 } { 12 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 53 } { 12 } }$
$ $ Since the denominator is the same as $ 12 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { - 9 + 53 } { 12 } }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ 53 } } { 12 }$
$ $ Add $ - 9 $ and $ 53$
$\dfrac { \color{#FF6800}{ 44 } } { 12 }$
$\color{#FF6800}{ \dfrac { 44 } { 12 } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ \dfrac { 11 } { 3 } }$
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