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
$- \dfrac{ 1 }{ 2 } + \dfrac{ 3 }{ 5 } - \dfrac{ 3 }{ 2 }$
$- \dfrac { 7 } { 5 }$
Find the sum or difference of the fractions
$- \dfrac { 1 } { \color{#FF6800}{ 2 } } + \dfrac { 3 } { \color{#FF6800}{ 5 } } - \dfrac { 3 } { \color{#FF6800}{ 2 } }$
$ $ The smallest common multiple in denominator is $ 10$
$- \dfrac { 1 } { \color{#FF6800}{ 2 } } + \dfrac { 3 } { \color{#FF6800}{ 5 } } - \dfrac { 3 } { \color{#FF6800}{ 2 } }$
$- \dfrac { 1 } { 2 } + \dfrac { 3 } { 5 } - \dfrac { 3 } { 2 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$- \dfrac { 1 \times \color{#FF6800}{ 5 } } { 2 \times \color{#FF6800}{ 5 } } + \dfrac { 3 \times \color{#FF6800}{ 2 } } { 5 \times \color{#FF6800}{ 2 } } - \dfrac { 3 \times \color{#FF6800}{ 5 } } { 2 \times \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 \times 5 } { 2 \times 5 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 3 \times 2 } { 5 \times 2 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 \times 5 } { 2 \times 5 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 10 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 6 } { 10 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 15 } { 10 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 10 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 6 } { 10 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 15 } { 10 } }$
$ $ Since the denominator is the same as $ 10 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { - 5 + 6 - 15 } { 10 } }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 15 } } { 10 }$
$ $ Calculate the sum or the difference $ $
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 14 } } { 10 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 14 } } { 10 }$
$ $ Move the minus sign to the front of the fraction $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 14 } { 10 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 14 } { 10 } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 7 } { 5 } }$
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