18.6k views
0 votes
30mx + 5my +18nx +3ny

----------------------------------
15nx -10my + 9nx - 6ny
how do I simplify this fraction?​

User Li Juan
by
5.1k points

2 Answers

7 votes
30mx + my + 2nx +ny
———————————
15nx - 2my + nx -2ny
User Darren Corbett
by
5.4k points
3 votes

Answer:

6x+y/3x-2y

Explanation:

30mx + 5my +18nx +3ny

----------------------------------

15nx -10my + 9nx - 6ny

taking each first, then simplifying

30mx + 5my +18nx +3ny

5m(6x+y)+3n(6x+y) = (5m+3n)(6x+y)

15mx -10my + 9nx - 6ny

5m(3x-2y)+3n(3x-2y)

(5m+3n)(3x-2y)

30mx + 5my +18nx +3ny

---------------------------------- = {(5m+3n)(6x+y)}/{(5m+3n)(3x-2y)}

15nx -10my + 9nx - 6ny

(5m+3n) cancels itself up and down

Remaining 6x+y/3x-2y

User Willnx
by
5.6k points