You can find a rational number that is between two other rational numbers in several ways. For example, you can divide the distance between them into three equal parts. The difference between the original fractions (distance between them on a number line):
\latex{\frac{3}{4}-\frac{2}{3}=\frac{9}{12}-\frac{8}{12}=\frac{1}{12} .}
Divide this difference into three equal parts.
\latex{\frac{1}{12}\div 3=\frac{1}{36} .}
