Question

twenty rational number between 1 and 2

Answer 1

1 can also be written as $\frac{1}{1} × \frac{100}{100} = \frac{100}{100}$ 
And 2 can also be written as $\frac{2×100}{1×100}$
So, twenty rational numbers between$\frac{100}{100} and \frac{200}{100}$ are $\frac {2}{100} \frac{3}{100} \frac{4}{100} \frac{5}{100} \frac{6}{100} \frac{7}{100} \frac{8}{100} \frac{9}{100} \frac{10}{100} \frac{11}{100} \frac{12}{100} \frac{13}{100} \frac{14}{100} \frac{15}{100} \frac{16}{100} \frac{17}{100} \frac{18}{100} \frac{19}{100} \frac{20}{100} \frac{21}{100}$

Answer 2

There are infinite rational number between any two rational number.

Between 1 and 2

1.11,1.12,1.13,1.14,1.15,1.16,1.17,1.18,1.19,1.2,1.21,1.22,1.23,1.24,1.25,
1.26,1.27,1.26,1.27,1.28,1.29,1.3 and so on.