Find any three rational numbers between 0 and 1 using the mean method.

If a and b are two rational numbers, then $\frac{\mathrm{a}+\mathrm{b}}{2}$is a rational number between a and b such that a < $\frac{\mathrm{a}+\mathrm{b}}{2}$  < b.

The mean of 0 and 1 is $\left(\frac{0+1}{2}\right)=\frac{1}{2}$

The mean of 0 and $\frac{1}{2}$​ is $\left(\frac{0+{\displaystyle \frac{1}{2}}}{2}\right)=\frac{1}{4}$

The mean of $\frac{1}{2}$ and 1​ is $\left(\frac{{\displaystyle \frac{1}{2}}+1}{2}\right)=\frac{{\displaystyle \frac{3}{2}}}{2}=\frac{3}{4}$

Thus, $\frac{1}{4}$,$\frac{1}{2}$,$\frac{3}{4}$ are the three rational numbers between 0 and 1.