Question

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

Answer 1

Let's find 3 rational numbers between:

`(1)/(7)\text{and}(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} (1)/(7)\ast(4)/(4)=(4)/(28) \\ \\ (1)/(4)\ast(7)/(7)=(7)/(28) \end{gathered}`

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

`(5)/(28)and(6)/(28)`

To find the third rational number, we have:

`(5)/(28)\ast(4)/(4)=(20)/(112)`

Therefore, the 3 rational numbers are:

`(5)/(28),(6)/(28)\text{and}(20)/(112)`

ANSWER:

`\begin{gathered} (5)/(28) \\ \\ (6)/(28) \\ \\ (20)/(112) \end{gathered}`