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Formula
Find the sum of the fractions
Answer
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$\dfrac{ 2 }{ 21 } + \dfrac{ 38 }{ 35 }$
$\dfrac { 124 } { 105 }$
Find the sum of the fractions
$\dfrac { 2 } { \color{#FF6800}{ 21 } } + \dfrac { 38 } { \color{#FF6800}{ 35 } }$
$ $ The smallest common multiple in denominator is $ 105$
$\dfrac { 2 } { \color{#FF6800}{ 21 } } + \dfrac { 38 } { \color{#FF6800}{ 35 } }$
$\dfrac { 2 } { 21 } + \dfrac { 38 } { 35 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 2 \times \color{#FF6800}{ 5 } } { 21 \times \color{#FF6800}{ 5 } } + \dfrac { 38 \times \color{#FF6800}{ 3 } } { 35 \times \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 2 \times 5 } { 21 \times 5 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 38 \times 3 } { 35 \times 3 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 10 } { 105 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 114 } { 105 } }$
$\color{#FF6800}{ \dfrac { 10 } { 105 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 114 } { 105 } }$
$ $ Since the denominator is the same as $ 105 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 10 + 114 } { 105 } }$
$\dfrac { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 114 } } { 105 }$
$ $ Add $ 10 $ and $ 114$
$\dfrac { \color{#FF6800}{ 124 } } { 105 }$
Solution search results
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Reduce the following fractions to their lowest terms: 
$\left($ (a) $\right)$ $\dfrac {18} {36}$ $\left($ (b) $\right)$ $\dfrac {9} {27}$ $\left($ (c) $\dfrac {20} {32}$ (d) $\dfrac {2} {28}$ 
$\left($ (e) $\right)$ $\dfrac {14} {21}$ $\left(f\right)$ $\dfrac {5} {35}$ $\left(9\right)$ $\dfrac {18} {30}$ $\left(n\right)$ $\dfrac {6} {33}$
1st-6th grade
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