Are the fractions between 0 and 1 finite?

Answer 1

No, there are infinite fractions between 0 and 1. Try getting one and dividing by ten. The answer is 0.1. Then, divide by 10, over and over... you would get 10^-x, where x is the number of times you divided by 2. This number will approach 0, and lim as x goes to infinity 10^-x would be zero. (If you do not get this, its just a calculus student's way of saying the number would be very very very very very close to zero at one point.) However, the number would never get to zero, jus some number so small, like 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000001. We can keep dividing this number, but we would never reach 0.

Answer 2

If the numerator (number on top) is bigger than your denominator (number on bottom) with no whole number attached to it. (i.e.: 1 1/2 is larger than 1, but 1/2 is smaller than 1.)