/sci/ - Science & Math

>>16178883
(1/inf+1/inf) = (2/inf)
(((1/2)/inf+(1/2)/inf)+((1/2)/inf+(1/2)/inf)) = ((1/inf)+(1/inf))
You can keep dividing forever until both are infinite, but one fraction will always be larger than the other by a factor of x/y, this is even empirically provable by taking two (real) lengths and dividing them into equally infinite parts, no matter how many divisions you make one fraction will always be physically larger than other, because otherwise it wouldn't add up to the sum, ×/inf > (x-1)/inf, if you had to walk an infinite amount of steps to 100 meters, and your friend had to walk an infinite amount of steps to 1000 meters, his steps would still be larger than yours by a factor of 10/1, this still applies even if you make infinite divisions, because even on an infinitely divided line you can still point out a real number anywhere on that line and unless your lines are equal in length, not equal in divisions, then the numbers on the equal fractional distances of your lines will always be different