SOLUTION: x + 2/5 = 2/3 I know the answer is 4/15 (used grade school math to solve it). but I am having difficulty with the simplification of the lcd

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Question 259285: x + 2/5 = 2/3 I know the answer is 4/15 (used grade school math to solve it).
but I am having difficulty with the simplification of the lcd

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x+2/5=2/3
x=2/3-2/5
lcd 3*5 since neither 3 nor 5 have any useful factors
2/3=y/15=10/15
2/5=z/15=6/15
x=10/15-6/15
x=4/15
The answer of 4/15 was a hint that you need 15 as the lcd
What do you want to simplify? 4/15 is as simple as it gets.