Find five rational numbers between \(\frac{3}{5}\) and \(\frac{4}{5

1.	Find five rational numbers between \(\frac{3}{5}\) and \(\frac{4}{5},\)
Answer» Given, to find 5 rational numbers between \(\frac{3}{5}\) and \(\frac{4}{5}\) We have, \(\frac{3}{5}\times\frac{6}{6} =\frac{18}{30}\) and \(\frac{4}{5}\times\frac{6}{6} =\frac{24}{30}\) We know that, 18 < 19 < 20 < 21 < 22 < 23 < 24 < \(=\frac{18}{30}<\frac{19}{30}<\frac{20}{30}<\frac{21}{30}<\frac{22}{30}<\frac{23}{30}<\frac{24}{30}\) \(=\frac{3}{5}<\frac{19}{30}<\frac{20}{30}<\frac{21}{30}<\frac{22}{30}<\frac{23}{30}<\frac{4}{5}\) \(= \frac{3}{5}<\frac{19}{30}<\frac{2}{3}<\frac{7}{10}<\frac{11}{15}<\frac{23}{30}<\frac{4}{5}\) Hence, 5 rational numbers between \(\frac{3}{5}\) and \(\frac{4}{5}\) are: \(\frac{19}{30},\frac{2}{3},\frac{7}{10},\frac{11}{15},\frac{23}{30}\) Note: You can multiply and divide with any number you want to find the rational numbers.

Find five rational numbers between \(\frac{3}{5}\) and \(\frac{4}{5},\)

Answer»

Given, to find 5 rational numbers between \(\frac{3}{5}\) and \(\frac{4}{5}\)

We have, \(\frac{3}{5}\times\frac{6}{6} =\frac{18}{30}\) and \(\frac{4}{5}\times\frac{6}{6} =\frac{24}{30}\)

We know that,

18 < 19 < 20 < 21 < 22 < 23 < 24 <

\(=\frac{18}{30}<\frac{19}{30}<\frac{20}{30}<\frac{21}{30}<\frac{22}{30}<\frac{23}{30}<\frac{24}{30}\)

\(=\frac{3}{5}<\frac{19}{30}<\frac{20}{30}<\frac{21}{30}<\frac{22}{30}<\frac{23}{30}<\frac{4}{5}\)

\(= \frac{3}{5}<\frac{19}{30}<\frac{2}{3}<\frac{7}{10}<\frac{11}{15}<\frac{23}{30}<\frac{4}{5}\)

Hence, 5 rational numbers between \(\frac{3}{5}\) and \(\frac{4}{5}\) are:

\(\frac{19}{30},\frac{2}{3},\frac{7}{10},\frac{11}{15},\frac{23}{30}\)

Note: You can multiply and divide with any number you want to find the rational numbers.