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Find the sum of the fractions

Answer

$\dfrac { 1 } { 3 }$

Find the sum of the fractions

$\dfrac { 1 } { \color{#FF6800}{ 5 } } + \dfrac { 2 } { \color{#FF6800}{ 15 } }$

$ $ The smallest common multiple in denominator is $ 15$

$\dfrac { 1 } { \color{#FF6800}{ 5 } } + \dfrac { 2 } { \color{#FF6800}{ 15 } }$

$\dfrac { 1 } { 5 } + \dfrac { 2 } { 15 }$

$ $ Multiply the denominator and the numerator so that the denominator is the smallest common multiple $ $

$\dfrac { 1 \times \color{#FF6800}{ 3 } } { 5 \times \color{#FF6800}{ 3 } } + \dfrac { 2 } { 15 }$

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } { \color{#FF6800}{ 5 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 15 } } }$

$ $ Organize the expression $ $

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 15 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 15 } } }$

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 15 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \color{#FF6800}{ 15 } } }$

$ $ Since the denominator is the same as $ 15 $ , combine the fractions into one $ $

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } { \color{#FF6800}{ 15 } } }$

$\dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } { 15 }$

$ $ Add $ 3 $ and $ 2$

$\dfrac { \color{#FF6800}{ 5 } } { 15 }$

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } } { \color{#FF6800}{ 15 } } }$

$ $ Reduce the fraction to the lowest term $ $

$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 3 } } }$

Solution search results

$search-thumbnail-$The\ reciprocal\\ 0+11) \left(\frac{2}$

$8$ $\left(1$ Point) $1\right)$ The\ reciprocal\\ $0+11\right)$ \left(\frac{2} $c\left(2\right)$ {5}\right)^0\ $\right)$ \ $1111s\right)$ $S$ $S1S$ $s3S$ $S4S$ $s2S$

7th-9th grade

Other

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search-thumbnail-If the sum of two consecutive

If the sum of two consecutive numbers is $45$ and one number is $X$ .This statement in the form of equation $1s:$ $\left(1$ Point) $\right)$ $○5x+1$ $1eft\left(x+1$ $r1gnt\right)=45s$ $○sx+1ef\left(x+2$ $r1gnt\right)=145s$ $sx+1x=45s$

7th-9th grade

Algebra

$search-thumbnail-1+x x=\sqrt{(Nfrac(2ab)(a}+b) 1) then the value of )$

Question $14$ Not yet answered Marked out of $1.00$ $1+x$ $x=\sqrt{\left(Nfrac\left(2ab\right)\left(a} +b\right)$ $1\right)$ then the value of $\right)$ $\left(fr0c\left(x+a\right)\left(x-a\right)+lfrac\left(x+b\right)\left(x-b\right)$ $1\right)$ $1s$ Select $One$ a. $a/b$ b. $1$ $○$ $c2$ $2$ $○$ d. $a^{2}+b^{2}$ $○$ CLEAR MY CHOICE

Other

$search-thumbnail-Theis the statement of the Mean Value Theorem from your te\timestb00k$

The is the statement of the Mean Value Theorem from your $te\times tb00k$ $Tneoren$ $m4.5$ $Ne8n$ Value Theorem Let f be continuous over $leclose$ interval $\left(a.b\right)aod$ $i$ $eo$ $xd$ $csnlc$ $\left(ab\right)$ $mmd$ exists at least one point cE $\left(a.b\right)$ $si1dhtba$ $f^{'}\left(c\right)=\dfrac {f\left(b\right)-f\left(a\right)} {b-a}$ What is the geometric interpretation of the conclusion of the theorem? O The tangent line to the graph of \(f\left(x\right)\) at $l\left(c1\right)$ is parallel to the secant line connecting \(\left(a,f\left(a\right)\right)\) and \(\left(b,f\left(b\right)\right)\). O The tangent line to the graph of $\left(f\left(lef\left(x\left(right\right)$ at \(c\) is the secant line connecting \(\left(a,f\left(a\right)\right)\) $ana$ \(\left(b,f\left(b\right)\right)\). O The tangent line to the graph $of$ $\left(f\left(leF\left(x\left(right\right)\left(\right)at1\left(c1\right)is$ perpendicular to the secant line connecting \(\left(a,f\left(a\right)\right)\) and A(\left(b,f\left(b\right)\right)\). O The tangent line to the graph of $\left(fleH\left(x\right)nght\right)\right)\right)$ $at$ $\left(c\right)\right)ishoizonta|$ $Tnere$ is more than one tangent line to the graph $0no$ $\left(flcf\left(x\right)night\right)\left($ $at1\left(c1\right)$

Calculus

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$search-thumbnail-(int|imits -0a1(1-\timesn_{2}{)_{3}}^{n}$

$\left(int|imits$ $-0a1\left(1-\times n_{2}{\right)_{3}}^{n}$ $x^{A}3dx=7\right)$ $\left($ $frac\left(1\right)\left(40\right)\right)$ $\left($ $\left(troc\left(1\right)\left(35\right)\right)$ $\left(troc\left(1\right)\left(30\right)\right)$ $\left(tr0c\left(1\right)\left(25\right)\right)$

Calculus

$search-thumbnail-s|ef(-1n }\right)^{50}\ ) \ is\ equal\ to\ S$

$s|ef\left(-1n$ $\left($ }\right)^{50}\ $\right)$ \ | | is\ equal\ to\ $S$ $s1S$ $S-1S$ $s2S$ $s50s$

7th-9th grade

Other

Search count: 625

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