I dont want ot keep plugging in all the possbilities. Is there a quicker way to do this?
Acoording to the Order of Operations...what we really have is this
(something) - (something x something) + (something)
It's obvious that we want to subtract the smallest possible value of (something x something) from the largest possible value of the first "something"
The largest possible value of the first something is 6/3 = 2
The smallest possible value of the middle multiplication is 4/5 * 2/3 = 8/15
Which leaves 2/2 as the final added "something" = 1
So we have
6/3 - (8/15) + 1
2 + 1 - 8/15
3 - 8/15