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

Calculator search results

Formula
Find the sum of the fractions
Answer
circle-check-icon
expand-arrow-icon
$\dfrac{ 6 }{ 7 } + \dfrac{ 6 }{ 5 }$
$\dfrac { 72 } { 35 }$
Find the sum of the fractions
$\dfrac { 6 } { \color{#FF6800}{ 7 } } + \dfrac { 6 } { \color{#FF6800}{ 5 } }$
$ $ The smallest common multiple in denominator is $ 35$
$\dfrac { 6 } { \color{#FF6800}{ 7 } } + \dfrac { 6 } { \color{#FF6800}{ 5 } }$
$\dfrac { 6 } { 7 } + \dfrac { 6 } { 5 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 6 \times \color{#FF6800}{ 5 } } { 7 \times \color{#FF6800}{ 5 } } + \dfrac { 6 \times \color{#FF6800}{ 7 } } { 5 \times \color{#FF6800}{ 7 } }$
$\color{#FF6800}{ \dfrac { 6 \times 5 } { 7 \times 5 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 6 \times 7 } { 5 \times 7 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 30 } { 35 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 42 } { 35 } }$
$\color{#FF6800}{ \dfrac { 30 } { 35 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 42 } { 35 } }$
$ $ Since the denominator is the same as $ 35 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 30 + 42 } { 35 } }$
$\dfrac { \color{#FF6800}{ 30 } \color{#FF6800}{ + } \color{#FF6800}{ 42 } } { 35 }$
$ $ Add $ 30 $ and $ 42$
$\dfrac { \color{#FF6800}{ 72 } } { 35 }$
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