Question

1. \\((- \frac{1}{7})(- \frac{4}{8}) \\) **make sure to write your answer in simplest form

Explanation:

Step1: Multiply the signs

When multiplying two negative numbers, the result is positive. So, $(-\frac{1}{7})(-\frac{4}{9})$ becomes $\frac{1}{7} \times \frac{4}{9}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $1 \times 4 = 4$. Multiply the denominators: $7 \times 9 = 63$. So we get $\frac{4}{63}$. Since 4 and 63 have no common factors other than 1, this is the simplest form.

Answer:

$\frac{4}{63}$