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100 points for correct answer

100 points for correct answer-example-1
User Lyth
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7.2k points

1 Answer

5 votes

Answer:


(x)/(3)+(3)/(y)

Explanation:

Given fraction:


(xy+9)/(3y)


\textsf{Apply the fraction rule} \quad (a+b)/(c)=(a)/(c)+(b)/(c):


\implies (xy)/(3y)+(9)/(3y)

Rewrite 9 as 3 · 3:


\implies (xy)/(3y)+(3 \cdot 3)/(3y)

Cancel the common factor y in the first fraction and the common factor 3 in the second fraction:


\implies (x\diagup\!\!\!\!y)/(3\diagup\!\!\!\!y)+(\diagup\!\!\!\!3 \cdot 3)/(\diagup\!\!\!\!3y)


\implies (x)/(3)+(3)/(y)

User Caroline Beltran
by
8.5k points

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