Three Rational Numbers between -6 and -7
-6 and -7 are both integers, which are also rational numbers. To find three rational numbers between -6 and -7, we can use the fact that between any two distinct rational numbers, there exists an infinite number of rational numbers.

Method 1: Fractional Representation
1. -6.5: This is the midpoint between -6 and -7, and can be represented as the fraction -13/2.
2. -6.75: This rational number falls between -6.5 and -7, and can be represented as the fraction -27/4.
3. -6.8: This rational number is closer to -7 than -6.75, and can be represented as the fraction -17/25.

Method 2: Decimal Expansion
We can also find rational numbers between -6 and -7 by looking at their decimal expansions.
1. -6.2: This can be represented as the fraction -31/5.
2. -6.4: This can be represented as the fraction -16/2.
3. -6.6: This can be represented as the fraction -33/5.
By using both fractional representation and decimal expansion, we have successfully found three rational numbers between -6 and -7.