Question

Find 3 rational numbers between 1/7 and 1/4

Answer 1

Let's find 3 rational numbers between:

$\frac{1}{7}\text{and}\frac{1}{4}$

Rational numbers are numbers which can be written in fractional form a/b, where the denomintaor cannot be equal to zero.

We have:

$\begin{gathered} \frac{1}{7}\ast\frac{4}{4}=\frac{4}{28} \\ \\ \frac{1}{4}\ast\frac{7}{7}=\frac{7}{28} \end{gathered}$

Thus, the rational numbers that lie between 4/28 and 7/28 are:

$\frac{5}{28}and\frac{6}{28}$

To find the third rational number, we have:

$\frac{5}{28}\ast\frac{4}{4}=\frac{20}{112}$

Therefore, the 3 rational numbers are:

$\frac{5}{28},\frac{6}{28}\text{and}\frac{20}{112}$

ANSWER:

$\begin{gathered} \frac{5}{28} \\ \\ \frac{6}{28} \\ \\ \frac{20}{112} \end{gathered}$