Multiply -1 1/6 write the answer as a mixed number

Answer 1

To multiply \(-1\) by \(1 \frac{1}{6}\), first convert the mixed number into an improper fraction.

1. Convert \(1 \frac{1}{6}\) to an improper fraction: \[ 1 \frac{1}{6} = \frac{6 \times 1 + 1}{6} = \frac{7}{6} \]

2. Now multiply \(-1\) by \(\frac{7}{6}\): \[ -1 \times \frac{7}{6} = -\frac{7}{6} \]

3. Now, convert \(-\frac{7}{6}\) back into a mixed number:

   • The whole number part is \(-1\) (since \(7\) divided by \(6\) is \(1\) with a remainder of \(1\)).
   • The remainder forms the fraction \(\frac{1}{6}\).

So, \(-\frac{7}{6}\) as a mixed number is: \[ -1 \frac{1}{6} \]

Thus, the final answer is: \[ \boxed{-1 \frac{1}{6}} \]