Which of the following does not have the same value as the others?(1 point)

Responses

−3/7
Start Fraction negative 3 over 7 End Fraction

−3/−7
Start Fraction negative 3 over negative 7 End Fraction

−3/7
negative Start Fraction 3 over 7 End Fraction

3/−7
Start Fraction 3 over negative 7 End Fraction

1 answer

To determine which of the given fractions does not have the same value as the others, we can evaluate each one:

  1. −3/7 = \(-\frac{3}{7}\)
  2. −3/−7 = \(-\frac{3}{-7} = \frac{3}{7}\) (Negative divided by negative is positive)
  3. −3/7 = \(-\frac{3}{7}\)
  4. 3/−7 = \(\frac{3}{-7} = -\frac{3}{7}\) (Positive divided by negative is negative)

Now, let's summarize:

  • The first and third fractions are both \(-\frac{3}{7}\).
  • The second fraction is \(\frac{3}{7}\).
  • The fourth fraction is \(-\frac{3}{7}\).

The only fraction that does not have the same value as the others is −3/−7, which equals \(\frac{3}{7}\). It is positive, while the others are negative.

Thus, the answer is −3/−7.