Which fraction is equivalent to 2 over negative 6 ?
(5 points)
Group of answer choices
2 over 6
negative 2 over 6
negative 2 over negative 6
6 over 2
The fraction that is equivalent to 2 over negative 6 is negative 2 over negative 6.
To find the fraction equivalent to 2 over -6, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor of 2 and -6 is 2.
Dividing both the numerator and the denominator by 2, we get:
2 ÷ 2 = 1
-6 ÷ 2 = -3
So, the simplified fraction equivalent to 2 over -6 is 1 over -3.
Out of the given answer choices:
- 2 over 6 is not equivalent to 2 over -6.
- -2 over 6 is not equivalent to 2 over -6.
- -2 over -6 is equivalent to 2 over -6.
- 6 over 2 is not equivalent to 2 over -6.
Therefore, the correct answer is negative 2 over negative 6.
To find the fraction that is equivalent to 2 over negative 6, we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it. In this case, the GCD of 2 and -6 is 2.
To simplify the fraction, divide both the numerator and denominator by the GCD:
2 ÷ 2 = 1
-6 ÷ 2 = -3
Therefore, the simplified fraction equivalent to 2 over -6 is 1 over -3. However, this fraction is not listed in the answer choices provided.
Among the given answer choices, the fraction that is equivalent to 2 over -6 is negative 2 over negative 6.