Question

Multiply -1 1/6 by 7. Write the answer as a mixed number


answer plz ASAP

Answer 1

To multiply \(-1 \frac{1}{6}\) by \(7\), follow these steps:

1. Convert the mixed number \(-1 \frac{1}{6}\) into an improper fraction.
\[
-1 \frac{1}{6} = -\left(1 \times 6 + 1\right)/6 = -\frac{7}{6}
\]

2. Now multiply this by \(7\):
\[
-\frac{7}{6} \times 7 = -\frac{7 \times 7}{6} = -\frac{49}{6}
\]

3. Convert \(-\frac{49}{6}\) back into a mixed number:
- Divide \(49\) by \(6\):
\[
49 \div 6 = 8 \quad \text{(remainder } 1\text{)}
\]
- So, \(-\frac{49}{6} = -8 \frac{1}{6}\).

Therefore, the answer is:
\[
\boxed{-8 \frac{1}{6}}
\]