Im Muhammad Umer from Lahore, Pakistan . I'm a student of O'level and gave a thought to X/0. When we say 1/0.1, ans is 10. when we say 1/0.001, ans is 1000. As the denominator gets smaller, our value of ans increases. So when we say 1/0, logically the ans should be ~(infinity), or more appropriately 1x 10^~ (^ = raise to power). Hence, 2/0=2x10^~, 3/0=3x10^~, -1/0=-1x10^~, -2/0=-2x10^~ and so on. But a problem arises when we divide 0 by 0. First if we all agree that 2/0=2x10^~, multiply both sides by 0, which gives: 0x2/0=0x(2x10^~). Think 2x10^~ as a very big number, when it is multiplied by 0, ans is 0. But on left side 0 denominator of itselfe: 2x(0/0)=0, take two on the other side and get 0/0=0, or alternatively, assume 0/0=y, 2y=0 and y=0. Note that 0/0 is only case in which you cannot simply cut numerator by denominator and you can also not take 0 in denominator as such and have to properly multiply both sides by 0. If I'm wrong then kindly point out my mistake and convince me about it too. But if I'm right then I need some help spread the words. Thanks.