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A rational number between $− 1 3$ and $− 1 4$ is [[1]].

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answer is − 7 24.

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Detailed Solution

A rational number between

− 1 3

and

− 1 4

− 7 24

.
Given-

− 1 3

and

− 1 4

.
To determine a rational number between

− 1 3

and

− 1 4

.
When we want to find the rational number between two rational numbers, we must take their arithmetic mean.
As a result, if we want to find a rational number between

− 1 3

and

− 1 4

, we must compute their arithmetic mean.
So,

⇒ − 1 3 + − 1 4 2 ⇒ − 4 − 3 12 2 ⇒ − 7 12 2 ⇒ − 7 24

The rational number is

− 7 24

.
Thus, a rational number between

− 1 3

and

− 1 4

− 7 24

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