There are an infinite number of them. Here are a few: 1.09 1.1 1.2 1.22000001 1.3 1.409 1.567 1.62813 1.7081824 1.79 1.799 1.79900001 1.79900002 .
. etc.
Any number that you can write down completely on paper using digits is rational.
A rational number between 1.08 and 1.8 can be examples like 1.1, 1.2, or 1.5. Rational numbers are those that can be expressed as fractions. Many options exist between these two numbers as they can be any decimal and its corresponding fraction.
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