What is the greatest unit fraction that you can plot on a number line between 0 and 1?

The greatest unit fraction that can be plotted on a number line between 0 and 1 is ( \frac{1}{2} ). This is because unit fractions are of the form ( \frac{1}{n} ), where ( n ) is a positive integer. As ( n ) increases, the value of ( \frac{1}{n} ) decreases, so ( \frac{1}{2} ) is the largest unit fraction that remains less than 1. Other unit fractions, like ( \frac{1}{3} ) or ( \frac{1}{4} ), are smaller than ( \frac{1}{2} ).