Question

100 points for correct answer

Answer 1

`(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)`