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

Question

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

Answer 1

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

1. \(-\frac{3}{7}\) (which is negative three-sevenths)
2. \(\frac{3}{-7}\) (which is three over negative seven, equivalent to \(-\frac{3}{7}\))
3. \(-\frac{3}{7}\) (same as the first one)
4. \(-\frac{-3}{7}\) (which simplifies to \(\frac{3}{7}\))

Now comparing these values:

• The first three values (\(-\frac{3}{7}\), \(\frac{3}{-7}\), and \(-\frac{3}{7}\)) are all equal to \(-\frac{3}{7}\).
• The fourth value, \(-\frac{-3}{7}\), simplifies to \(\frac{3}{7}\), which is not equal to the others.

Therefore, the response that does not have the same value as the others is:

\(-\frac{-3}{7}\) (which simplifies to \(\frac{3}{7}\)).