SOLUTION: .By what should the sum of 2/3 and -3/4 be divided to get 5/4

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Question 756477: .By what should the sum of 2/3 and -3/4 be divided to get 5/4
Answer by nerdybill(7384) About Me  (Show Source):
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.By what should the sum of 2/3 and -3/4 be divided to get 5/4
.
Let x = number
then
(2/3 - 3/4)/x = 5/4
cross multiplying we get:
5x = 4(2/3 - 3/4)
5x = 8/3 - 3
multiplying both sides by 3:
15x = 8 - 9
15x = -1
x = -1/15