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

Responses

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

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

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

−3/7

1 answer

To find which of the given options does not have the same value as the others, let's evaluate each one:

  1. \(-3/-7\) equals \(3/7\) because a negative divided by a negative gives a positive.

  2. \(3/-7\) equals \(-3/7\) because a positive divided by a negative gives a negative.

  3. \(-3/7\) is already in its simplest form.

  4. \(-3/7\) (the same as the previous option).

Now let's summarize their values:

  • \(-3/-7 = 3/7\)
  • \(3/-7 = -3/7\)
  • \(-3/7\) remains the same.
  • \(-3/7\) (repeat).

The values:

  • \(3/7\)
  • \(-3/7\)
  • \(-3/7\)

From this analysis, the one that does not have the same value as the others is:

3/-7 (which equals -3/7) is the only one whose positive equivalent does not match a negative value.

So, the answer is \(3/-7\).