Question

Find three rational numbers between 1/4 and 1/5

Answer 1

$\frac{1}{5} < \frac{1}{4} \\ \\ \frac{1 \times 4}{5 \times 4} < \frac{1 \times 5}{4 \times 5} \\ \\ = \frac{4}{20} < \frac{5}{20}$

$\frac{4}{20} < \frac{5}{20} \\ \\ \frac{4 \times 4}{20 \times 4} < \frac{5 \times 4}{20 \times 4} \\ \\ \frac{16}{80} < \frac{17}{80} < \frac{18}{80} < \frac{19}{80} < \frac{20}{80}$

17/80, 18/80, 19/80 are some rational numbers between 1/5 and 1/4.

Another method :-

$\frac{1}{5} < \frac{1}{4} \\ \\ \frac{1}{5} < \frac{1 + 1}{5 + 4} < \frac{1}{4} \\ \\ \frac{1}{5} < \frac{2}{9} < \frac{1}{4} \\ \\ \frac{1}{5} < \frac{1 + 2}{5 + 9} < \frac{2}{9} < \frac{2 + 1}{9 + 4} < \frac{1}{4} \\ \\ \frac{1}{5} < \frac{3}{14} < \frac{2}{9} < \frac{3}{13} < \frac{1}{4}$

3/14, 2/9, 3/13 are some fractions between 1/5 and 1/4.

Hope these may be helpful.

Please mark my answer as the brainliest if these may be helpful.

Thank you. Have a nice day.