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