Understanding Rational Numbers
Rational numbers are numbers that can be expressed as the quotient of two integers. For example, \( \frac{2}{7} \) and \( \frac{3}{4} \) are rational numbers.

Finding a Common Denominator
To find rational numbers between \( \frac{2}{7} \) and \( \frac{3}{4} \), we need a common denominator.
- The denominators are 7 and 4.
- The least common multiple (LCM) of 7 and 4 is 28.

Converting to Equivalent Fractions
Now, convert both fractions to have this common denominator:
- \( \frac{2}{7} \) becomes \( \frac{2 \times 4}{7 \times 4} = \frac{8}{28} \)
- \( \frac{3}{4} \) becomes \( \frac{3 \times 7}{4 \times 7} = \frac{21}{28} \)

Finding Rational Numbers Between
With both fractions expressed with a common denominator, we can identify rational numbers between \( \frac{8}{28} \) (which is \( \frac{2}{7} \)) and \( \frac{21}{28} \) (which is \( \frac{3}{4} \)).
- Rational numbers can be any fraction that fits between \( \frac{8}{28} \) and \( \frac{21}{28} \).
- Examples include \( \frac{9}{28}, \frac{10}{28}, \frac{11}{28}, \frac{12}{28}, \frac{13}{28}, \frac{14}{28}, \frac{15}{28}, \frac{16}{28}, \frac{17}{28}, \frac{18}{28}, \frac{19}{28}, \frac{20}{28} \).

Conclusion
In summary, to find rational numbers between two rational numbers:
- Convert both fractions to a common denominator.
- Identify values in between the fractions based on the new denominator.
This method helps to easily visualize and find all possible rational numbers in the interval!