Symbol

Calculator search results

Formula
Find the sum or difference of the fractions
$- \dfrac{ 5 }{ 6 } + \dfrac{ 2 }{ 3 }$
$- \dfrac { 1 } { 6 }$
Find the sum or difference of the fractions
$- \dfrac { 5 } { \color{#FF6800}{ 6 } } + \dfrac { 2 } { \color{#FF6800}{ 3 } }$
 The smallest common multiple in denominator is $6$
$- \dfrac { 5 } { \color{#FF6800}{ 6 } } + \dfrac { 2 } { \color{#FF6800}{ 3 } }$
$- \dfrac { 5 } { 6 } + \dfrac { 2 } { 3 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$- \dfrac { 5 } { 6 } + \dfrac { 2 \times \color{#FF6800}{ 2 } } { 3 \times \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 2 \times 2 } { 3 \times 2 } }$
 Organize the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 4 } { 6 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 5 } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 4 } { 6 } }$
 Since the denominator is the same as $6$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { - 5 + 4 } { 6 } }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } } { 6 }$
 Add $- 5$ and $4$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } { 6 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 1 } } { 6 }$
 Move the minus sign to the front of the fraction 
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 6 } }$
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