Question

perform the operation and reduce the answer fully. make sure to express your answer as a simplified fraction.
\\(\frac{1}{7} div -\frac{2}{5}\\)

Explanation:

Step1: Recall division of fractions rule

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of $-\frac{2}{5}$ is $-\frac{5}{2}$. So, $\frac{1}{7} \div -\frac{2}{5} = \frac{1}{7} \times -\frac{5}{2}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $1 \times -5 = -5$. Multiply the denominators: $7 \times 2 = 14$. So the result is $\frac{-5}{14}$, which can also be written as $-\frac{5}{14}$.

Answer:

$-\frac{5}{14}$