Question

Find three different irrational numbers between the rational numbers
a) 0.13 and 0.14 b) 1/4 and 1/5 c)2/5 and 3/4​

Answer 1

$a) \: 0.133, 0.136, 0.139 \\ b) \: \frac{1}{4} \times \frac{25}{25} = \frac{25}{100} \\ \frac{1}{5} \times \frac{20}{20} = \frac{20}{100} \\ \frac{21}{100} \: \frac{22}{100} \: \frac{23}{100} \: \frac{24}{100} \\ c) \frac{2}{5} \times \frac{16}{16} = \frac{32}{80} \\ \frac{3}{4} \times \frac{20}{20} = \frac{60}{80} \\ \frac{35}{80} \: \frac{40}{80} \: \frac{45}{80}$