Big book p141 Q6

[NazaninAmsterdam]

Hi, so can someone help me to see if this logic is correct. What I thought is that for

x-y/x the x’es cancel out so we are left with -y
x-y/y the y cancels out but it becomes x-1 because -y/y = -1

Then I thought that x would be bigger because even for x=1 it will be 0 while -1y will always be negative and thus <0. Is my logic wrong because of potential negative values for y it becomes positive?

[HoldMyBeer]

@NazaninAmsterdam

x-y/x the x’es cancel out so we are left with -y

\frac{x-y}{x}= \frac{x}{x}-\frac{y}{x}=1-\frac{y}{x}

[NazaninAmsterdam]

ugh so the x’es don’t cancel out because it’s not a multiplication is that correct?