The correct fractions that have the same value as 2/3 is -2/-3.
The fraction −2/3 can be expressed as −2/−3. When simplifying this fraction, both the numerator and denominator can be raised to the power of -3. This results in (−2)^−3/(-3)^-3. The negative exponent in the numerator flips the base, making it 1/(−2)^3, and similarly, the denominator becomes 1/(−3)^3 .
Since the negative signs in the numerator and denominator cancel each other out, the fraction becomes (−2)^3/(−3)^3. Evaluating the powers yields −8/−27, which is equivalent to 2/3. Therefore, −2/3 has the same value as −2/−3.