-2÷4/7

To solve \(-2 \div \frac{4}{7}\), you can rewrite the division by a fraction as multiplication by its reciprocal:

\[ -2 \div \frac{4}{7} = -2 \times \frac{7}{4} \]

Now, multiply:

\[ -2 \times \frac{7}{4} = \frac{-2 \times 7}{4} = \frac{-14}{4} \]

Now, simplify \(\frac{-14}{4}\):

\[ \frac{-14}{4} = \frac{-7}{2} \]

So, the final answer is:

\[ \frac{-7}{2} \]