SOLUTION: One-third X plus two-fifths X equals one-fifteenth What is X?

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Question 59272: One-third X plus two-fifths X equals one-fifteenth
What is X?
Found 2 solutions by funmath, uma:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
One-third X plus two-fifths X equals one-fifteenth
What is X?
%281%2F3%29x%2B%282%2F5%29x=1%2F15 This can be easier if we clear the fractions by multiplying everything by the LCD, 15:
15%281%2F3%29x%2B15%282%2F5%29x=15%281%2F15%29
%2815%2F3%29x%2B%2830%2F5%29x=15%2F15
5x%2B6x=1
11x=1
11x%2F11=1%2F11
x=1%2F11
Happy Calculating!!!

Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
(1/3)x + (2/5)x = 1/15
Taking 15 as the LCM for the left side denominators, we multiply both the sides by 15,
==> (1/3)(15x) + (2/5)(15x) = (1/15) (15)
==> 5x + 6x = 1
==> 11x = 1
==> x = 1/11