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 3 over negative 7 End Fraction

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

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

1 answer

To determine which of the fractions does not have the same value as the others, let's evaluate each one:

  1. −3/7: This is negative three-sevenths.
  2. 3/−7: This is three divided by negative seven, which is also negative three-sevenths.
  3. −3/7: This is again negative three-sevenths (same as the first).
  4. −3/−7: This is negative three divided by negative seven, which is positive three-sevenths.

Now, summarizing the values:

  • −3/7 = -3/7
  • 3/−7 = -3/7
  • −3/7 = -3/7
  • −3/−7 = 3/7

Therefore, the one that does not have the same value as the others is −3/−7, because it equals 3/7 (positive) while the others are all −3/7 (negative).