3/14
When you multiply two negative numbers together, the negatives cancel each other out and you get a positive answer. So, you can just forget about the negative signs. This leaves us with 1/6 * 9/7.
To multiply a fraction, multiply the numerators together and multiply the denominators together. So, multiply 1 * 9 to get 9, and multiply 6 * 7 to get 42. This means the answer is 9/42.
However, the numerator and denominator share a factor, and that is 3. So, you can divide the numerator and the denominator each by 3 to simplify the fraction to 3/14.