# Calculator search results

Formula
Find the sum of the fractions
$\dfrac{ 4 }{ 15 } + \dfrac{ 2 }{ 5 }$
$\dfrac { 2 } { 3 }$
Find the sum of the fractions
$\dfrac { 4 } { \color{#FF6800}{ 15 } } + \dfrac { 2 } { \color{#FF6800}{ 5 } }$
 The smallest common multiple in denominator is $15$
$\dfrac { 4 } { \color{#FF6800}{ 15 } } + \dfrac { 2 } { \color{#FF6800}{ 5 } }$
$\dfrac { 4 } { 15 } + \dfrac { 2 } { 5 }$
 Multiply the denominator and the numerator so that the denominator is the smallest common multiple 
$\dfrac { 4 } { 15 } + \dfrac { 2 \times \color{#FF6800}{ 3 } } { 5 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 4 } { 15 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 2 \times 3 } { 5 \times 3 } }$
 Organize the expression 
$\color{#FF6800}{ \dfrac { 4 } { 15 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 6 } { 15 } }$
$\color{#FF6800}{ \dfrac { 4 } { 15 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 6 } { 15 } }$
 Since the denominator is the same as $15$ , combine the fractions into one 
$\color{#FF6800}{ \dfrac { 4 + 6 } { 15 } }$
$\dfrac { \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } } { 15 }$
 Add $4$ and $6$
$\dfrac { \color{#FF6800}{ 10 } } { 15 }$
$\color{#FF6800}{ \dfrac { 10 } { 15 } }$
 Reduce the fraction to the lowest term 
$\color{#FF6800}{ \dfrac { 2 } { 3 } }$
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