Question

Insert seven rational numbers between 2 and 3.

Answer 1

As, we have to find 7 rational numbers between 2 and 3, we multiply the numbers by$\frac{8}{8}$ $\therefore 2=2\times \frac{8}{8}=\frac{16}{8}and3=3\times \frac{8}{8}=\frac{24}{8}\text{Thus, 7 rational numbers between 2 and 3}(i.e.,\frac{16}{8}and\frac{24}{8})are=\frac{17}{8},\frac{18}{8},\frac{19}{8},\frac{20}{8},\frac{21}{8},\frac{22}{8},\frac{23}{8},=\frac{17}{8},\frac{9}{4},\frac{19}{8},\frac{5}{2},\frac{21}{8},\frac{11}{4},\frac{23}{8}=2\frac{1}{8},2\frac{1}{4},2\frac{3}{8},2\frac{1}{2},2\frac{5}{8},2\frac{3}{4},and2\frac{7}{8},$