Five rational numbers between -2 and -1 are , , , , .

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Detailed Solution

Concept-Five rational numbers between -2 and -1 are 1.75, -1.875, -1.9375, -1.48685, -1.5.
Here we need to multiply both numbers by

\frac{n + 1}{n + 1}

to find a rational number between -2 and -1. Then get n rational numbers between the specified terms.
Given: find 5 rational numbers between -2 and -1.
As you know, the rational number between a and b is given by

.
Therefore, the rational number between -2 and -1 is

.
The rational number between -2 and -3/2 is Question Image

.
The rational number between -2 and -7/4 is Question Image

.
The rational number between -2 and -15/8 is Question Image

.
The rational number between -31/16 and -1 is Question Image

.
Hence, the correct answer is the five rational numbers between -2 and -1 are -1.75, -1.875, -1.9375, -1.48685, -1.5.

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