Is - (3/-7) equivalent to -3/7

1 answer

Yes, \(-\left(\frac{3}{-7}\right)\) is equivalent to \(-\frac{3}{7}\).

Here's why:

  1. The expression \(\frac{3}{-7}\) is equal to \(-\frac{3}{7}\) since a negative in the denominator can be moved to the numerator.
  2. Therefore, \(-\left(\frac{3}{-7}\right) = -\left(-\frac{3}{7}\right)\), which simplifies to \(\frac{3}{7}\).

So, the statement is true: \(-\left(\frac{3}{-7}\right) = -\frac{3}{7}\).