Question

Divide: (2/5) ÷ (-5/7) = ______.
14/25
-14/25
25/14
-25/14

Answer 1

To divide the fractions \(\frac{2}{5}\) and \(-\frac{5}{7}\), you multiply by the reciprocal of the second fraction.

So, we have:

\[
\frac{2}{5} \div -\frac{5}{7} = \frac{2}{5} \times -\frac{7}{5}
\]

Now, multiply the numerators and the denominators:

\[
\frac{2 \times -7}{5 \times 5} = \frac{-14}{25}
\]

Thus, the final answer is:

\[
\frac{2}{5} \div -\frac{5}{7} = -\frac{14}{25}
\]

The answer is \(-\frac{14}{25}\).