Question

List 3 rational numbers between -5/13 and 1/13

Plz help

Answer 1

`\displaystyle -(4)/(13),~-(3)/(13),~-(1)/(13),~0`

Explanation:

Rational Numbers

The rational numbers are defined as numbers of the form
`(a)/(b)` where a and b are integer numbers and b is not zero.

Two rational numbers expressed as fractions can be better compared if they have the same denominator. For example, 5/11 is greater than 3/11 because they have the same denominator and 5 is greater than 3.

Similarly, if we have the fractions -5/13 and 1/13, it's clear that the first fraction is less than the second. If we wanted to have some rational numbers between them we only have to play around with the numerators: any number between -5 and 1 will do.

Examples of the required numbers:

`\displaystyle -(4)/(13),~-(3)/(13),~-(1)/(13),~0`