Question

Find the quotient 2x − 3 /x ÷ 7 /x2

Answer 1

`2x- (3)/(x) : (7)/(x^2) =2x-(3)/(x)\cdot (x^2)/(7) =2x- (3)/(7) x=(2- (3)/(7) )x= (2\cdot7-3)/(7) x= (11)/(7) x` (this is what is given in task)
Note that
`(3)/(x) : (7)/(x^2) =(3)/(x)\cdot (x^2)/(7) = (3x^2)/(7x) = (3x)/(7) = (3)/(7) x`.