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
Start Fraction negative 3 over negative 7 End Fraction

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

To determine which of the fractions does not have the same value as the others, we can simplify each one.

  1. −3/7: This is negative three-sevenths.
  2. 3/−7: This is three over negative seven, which simplifies to −3/7 (as dividing by a negative gives a negative result).
  3. −3/−7: This is negative three over negative seven, which simplifies to 3/7 (as the two negatives cancel out).
  4. −3/7: Again, this is negative three-sevenths, same as the first option.

Now we summarize the simplified values:

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

The fraction that does not have the same value as the others is −3/−7, which simplifies to 3/7.