exam Maths Puzzle Numerical Ability

what fraction lies exactly halfway between x over two and x over three

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exam Other Question

An electric company is placing utility poles along a road. It is determined that 5 fewer poles per kilometre would be necessary if the distance between the poles were increased by 10metres. How many poles are being placed each km? {(x+1)(2x-1)/(2x-3)(x-3)}-{(x-3)(x+1)/(3-x)(3-2x)}+ {(2x+1)(x+3)/(3-2x)(x-3)



The answer I got was... 3x^2+10x+5/2x^2-9x+9

is this correct?

THANK YOU so much for your help!!