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Formula
Find the sum of the fractions
Answer
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$\dfrac{ 1 }{ 2 } + \dfrac{ 3 }{ 5 } + \dfrac{ 4 }{ 7 }$
$\dfrac { 117 } { 70 }$
Find the sum of the fractions
$\dfrac { 1 } { \color{#FF6800}{ 2 } } + \dfrac { 3 } { \color{#FF6800}{ 5 } } + \dfrac { 4 } { \color{#FF6800}{ 7 } }$
$ $ The smallest common multiple in denominator is $ 70$
$\dfrac { 1 } { \color{#FF6800}{ 2 } } + \dfrac { 3 } { \color{#FF6800}{ 5 } } + \dfrac { 4 } { \color{#FF6800}{ 7 } }$
$\dfrac { 1 } { 2 } + \dfrac { 3 } { 5 } + \dfrac { 4 } { 7 }$
$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $
$\dfrac { 1 \times \color{#FF6800}{ 35 } } { 2 \times \color{#FF6800}{ 35 } } + \dfrac { 3 \times \color{#FF6800}{ 14 } } { 5 \times \color{#FF6800}{ 14 } } + \dfrac { 4 \times \color{#FF6800}{ 10 } } { 7 \times \color{#FF6800}{ 10 } }$
$\color{#FF6800}{ \dfrac { 1 \times 35 } { 2 \times 35 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 3 \times 14 } { 5 \times 14 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 4 \times 10 } { 7 \times 10 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { 35 } { 70 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 42 } { 70 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 40 } { 70 } }$
$\color{#FF6800}{ \dfrac { 35 } { 70 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 42 } { 70 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 40 } { 70 } }$
$ $ Since the denominator is the same as $ 70 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 35 + 42 + 40 } { 70 } }$
$\dfrac { \color{#FF6800}{ 35 } \color{#FF6800}{ + } \color{#FF6800}{ 42 } \color{#FF6800}{ + } \color{#FF6800}{ 40 } } { 70 }$
$ $ Find the sum $ $
$\dfrac { \color{#FF6800}{ 117 } } { 70 }$
Solution search results
search-thumbnail-
Simplify : 
$1$ $6+\left(\dfrac {4} {3}+\left(\dfrac {3} {4}-\dfrac {1} {3}\right)\right)$ $2$ $8-\left(\dfrac {3} {2}+\left(\dfrac {3} {5}-\dfrac {1} {2}\right)\right)$ 
3. $\dfrac {1} {4}\left(\dfrac {1} {4}+\dfrac {1} {3}\right)-\dfrac {2} {5}$ 4. $2\dfrac {3} {4}-\left(3\dfrac {1} {8}+\left(5-\left(4\dfrac {2} {3}-\dfrac {11} {12}\right)$ 
5. $12\dfrac {1} {2}-\left(8\dfrac {1} {2}+ \begin{cases} - \\ 9-\left(5-3-2\right) \end{cases} $ 6. $1\dfrac {1} {5}+ \begin{cases} - \\ 2\dfrac {1} {3}-5+2-3\right)-3\dfrac {1} {2} \end{cases} $ 
7. $\left(\dfrac {1} {2}+\dfrac {2} {3}\right)+\left(\dfrac {3} {4}-\dfrac {2} {9}\right)$ $\dfrac {6} {5}o1$ $\left(3\dfrac {1} {3}-2\dfrac {1} {2}\right)+\left(2\dfrac {5} {21}-2\right)$ 
$9$ $10\dfrac {1} {8}$ or $\dfrac {4} {5}+\dfrac {35} {36}$ of 249 0 $10$ 5 $-\dfrac {3} {7}\times 15\dfrac {3} {4}+2\dfrac {2} {35}+1\dfrac {11} {25}$ 
$11$ o172 $7\dfrac {3} {7}$ $-5\dfrac {3} {5}+3\dfrac {4} {15}$ 
Fraction (Including Problems). 49
7th-9th grade
Other
search-thumbnail-$11.$ Question $11$ 
Solve the $:$ $folloMlng'$ $0<θ<90^{°}$ 
$\left(1\right)$ $2sin^{2}θ=1\right)$ $\left(rac\left(3\right)\left(2\right)\right)$ 
$\left(11\right)$ $3tan^{2}θ+2=3$ 
$\left(111\right)cos^{2}θ$ $11rac\left(1\right)\left(4\right)\right)=$ 
$c\left(1\right)\left(4\right)\right)=11113c\left(1\right)\left(2\right)\right)$
10th-13th grade
Trigonometry
search-thumbnail-$2$ $7$ $~\times 7$ $5$ $\dfrac {4} {7}$ $-4\dfrac {1} {2}$ $-\dfrac {3} {5}+2\dfrac {8} {35}$
7th-9th grade
Other
search-thumbnail-Which of the following rational numbers are 
equivalent? 
$0Ptionsy$ 
A \frac{5}{6}, \frac{30}{36} 
B $s\sqrt{rac\left(} -2\right)\left(3\right)\sqrt{1rac} \sqrt{4\right)16\right)4} $ 
C $s\sqrt{11aC\left(} -4\right)1-7b,\sqrt{1rac\left(16\sqrt{35\right)9} } $ 
D \frac{1}{2},\frac{3}{8}
7th-9th grade
Other
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