Let's find 3 rational numbers between:
[tex]\frac{1}{7}\text{and}\frac{1}{4}[/tex]Rational numbers are numbers which can be written in fractional form a/b, where the denomintaor cannot be equal to zero.
We have:
[tex]\begin{gathered} \frac{1}{7}\ast\frac{4}{4}=\frac{4}{28} \\ \\ \frac{1}{4}\ast\frac{7}{7}=\frac{7}{28} \end{gathered}[/tex]Thus, the rational numbers that lie between 4/28 and 7/28 are:
[tex]\frac{5}{28}and\frac{6}{28}[/tex]To find the third rational number, we have:
[tex]\frac{5}{28}\ast\frac{4}{4}=\frac{20}{112}[/tex]Therefore, the 3 rational numbers are:
[tex]\frac{5}{28},\frac{6}{28}\text{and}\frac{20}{112}[/tex]ANSWER:
[tex]\begin{gathered} \frac{5}{28} \\ \\ \frac{6}{28} \\ \\ \frac{20}{112} \end{gathered}[/tex]